Quaternionic Carleson measures Article Swipe
In this paper we provide a general construction of a quaternionic Banach space of slice regular functions from a given Banach space of holomorphic functions, which we call its quaternionic lift. To the best of our knowledge, this construction encompasses all known examples of quaternionic Banach spaces of slice regular functions in the literature. Our main result is a characterization of Carleson and vanishing Carleson measures for such quaternionic Banach function spaces in terms of the corresponding Carleson measures of the underlying holomorphic function space. This offers a unified approach to a problem that so far has been treated on a case-by-case basis.
Related Topics
Concepts
Holomorphic function
Mathematics
Banach space
Pure mathematics
Characterization (materials science)
Function (biology)
Space (punctuation)
Function space
Holomorphic functional calculus
Interpolation space
Mathematical analysis
Bergman space
Type (biology)
Discrete mathematics
Functional analysis
Relation (database)
Lp space
Metadata
- Type
- article
- Landing Page
- http://arxiv.org/abs/2512.06831
- https://arxiv.org/pdf/2512.06831
- OA Status
- green
- OpenAlex ID
- https://openalex.org/W7113915266
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
-
https://openalex.org/W7113915266Canonical identifier for this work in OpenAlex
- Title
-
Quaternionic Carleson measuresWork title
- Type
-
articleOpenAlex work type
- Publication year
-
2025Year of publication
- Publication date
-
2025-12-07Full publication date if available
- Authors
-
Chalmoukis, Nikolaos, Sarfatti, GiuliaList of authors in order
- Landing page
-
https://arxiv.org/abs/2512.06831Publisher landing page
- PDF URL
-
https://arxiv.org/pdf/2512.06831Direct link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
-
https://arxiv.org/pdf/2512.06831Direct OA link when available
- Concepts
-
Holomorphic function, Mathematics, Banach space, Pure mathematics, Characterization (materials science), Function (biology), Space (punctuation), Function space, Holomorphic functional calculus, Interpolation space, Mathematical analysis, Bergman space, Type (biology), Discrete mathematics, Functional analysis, Relation (database), Lp spaceTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
0Total citation count in OpenAlex
Full payload
| id | https://openalex.org/W7113915266 |
|---|---|
| doi | |
| ids.openalex | https://openalex.org/W7113915266 |
| fwci | 0.0 |
| type | article |
| title | Quaternionic Carleson measures |
| biblio.issue | |
| biblio.volume | |
| biblio.last_page | |
| biblio.first_page | |
| topics[0].id | https://openalex.org/T12037 |
| topics[0].field.id | https://openalex.org/fields/26 |
| topics[0].field.display_name | Mathematics |
| topics[0].score | 0.7946848273277283 |
| topics[0].domain.id | https://openalex.org/domains/3 |
| topics[0].domain.display_name | Physical Sciences |
| topics[0].subfield.id | https://openalex.org/subfields/2604 |
| topics[0].subfield.display_name | Applied Mathematics |
| topics[0].display_name | Algebraic and Geometric Analysis |
| topics[1].id | https://openalex.org/T10884 |
| topics[1].field.id | https://openalex.org/fields/26 |
| topics[1].field.display_name | Mathematics |
| topics[1].score | 0.10760635137557983 |
| topics[1].domain.id | https://openalex.org/domains/3 |
| topics[1].domain.display_name | Physical Sciences |
| topics[1].subfield.id | https://openalex.org/subfields/2604 |
| topics[1].subfield.display_name | Applied Mathematics |
| topics[1].display_name | Holomorphic and Operator Theory |
| topics[2].id | https://openalex.org/T11545 |
| topics[2].field.id | https://openalex.org/fields/26 |
| topics[2].field.display_name | Mathematics |
| topics[2].score | 0.03592747449874878 |
| topics[2].domain.id | https://openalex.org/domains/3 |
| topics[2].domain.display_name | Physical Sciences |
| topics[2].subfield.id | https://openalex.org/subfields/2610 |
| topics[2].subfield.display_name | Mathematical Physics |
| topics[2].display_name | Advanced Banach Space Theory |
| is_xpac | False |
| apc_list | |
| apc_paid | |
| concepts[0].id | https://openalex.org/C204575570 |
| concepts[0].level | 2 |
| concepts[0].score | 0.8553950786590576 |
| concepts[0].wikidata | https://www.wikidata.org/wiki/Q207476 |
| concepts[0].display_name | Holomorphic function |
| concepts[1].id | https://openalex.org/C33923547 |
| concepts[1].level | 0 |
| concepts[1].score | 0.84228515625 |
| concepts[1].wikidata | https://www.wikidata.org/wiki/Q395 |
| concepts[1].display_name | Mathematics |
| concepts[2].id | https://openalex.org/C132954091 |
| concepts[2].level | 2 |
| concepts[2].score | 0.6434131264686584 |
| concepts[2].wikidata | https://www.wikidata.org/wiki/Q194397 |
| concepts[2].display_name | Banach space |
| concepts[3].id | https://openalex.org/C202444582 |
| concepts[3].level | 1 |
| concepts[3].score | 0.6217524409294128 |
| concepts[3].wikidata | https://www.wikidata.org/wiki/Q837863 |
| concepts[3].display_name | Pure mathematics |
| concepts[4].id | https://openalex.org/C2780841128 |
| concepts[4].level | 2 |
| concepts[4].score | 0.5009191036224365 |
| concepts[4].wikidata | https://www.wikidata.org/wiki/Q5073781 |
| concepts[4].display_name | Characterization (materials science) |
| concepts[5].id | https://openalex.org/C14036430 |
| concepts[5].level | 2 |
| concepts[5].score | 0.4632713496685028 |
| concepts[5].wikidata | https://www.wikidata.org/wiki/Q3736076 |
| concepts[5].display_name | Function (biology) |
| concepts[6].id | https://openalex.org/C2778572836 |
| concepts[6].level | 2 |
| concepts[6].score | 0.4351116120815277 |
| concepts[6].wikidata | https://www.wikidata.org/wiki/Q380933 |
| concepts[6].display_name | Space (punctuation) |
| concepts[7].id | https://openalex.org/C142730499 |
| concepts[7].level | 2 |
| concepts[7].score | 0.3928234875202179 |
| concepts[7].wikidata | https://www.wikidata.org/wiki/Q934367 |
| concepts[7].display_name | Function space |
| concepts[8].id | https://openalex.org/C171199030 |
| concepts[8].level | 4 |
| concepts[8].score | 0.3533240854740143 |
| concepts[8].wikidata | https://www.wikidata.org/wiki/Q1625064 |
| concepts[8].display_name | Holomorphic functional calculus |
| concepts[9].id | https://openalex.org/C6183050 |
| concepts[9].level | 4 |
| concepts[9].score | 0.2992771863937378 |
| concepts[9].wikidata | https://www.wikidata.org/wiki/Q3058180 |
| concepts[9].display_name | Interpolation space |
| concepts[10].id | https://openalex.org/C134306372 |
| concepts[10].level | 1 |
| concepts[10].score | 0.29927340149879456 |
| concepts[10].wikidata | https://www.wikidata.org/wiki/Q7754 |
| concepts[10].display_name | Mathematical analysis |
| concepts[11].id | https://openalex.org/C107264478 |
| concepts[11].level | 3 |
| concepts[11].score | 0.2934489846229553 |
| concepts[11].wikidata | https://www.wikidata.org/wiki/Q3058183 |
| concepts[11].display_name | Bergman space |
| concepts[12].id | https://openalex.org/C2777299769 |
| concepts[12].level | 2 |
| concepts[12].score | 0.29173383116722107 |
| concepts[12].wikidata | https://www.wikidata.org/wiki/Q3707858 |
| concepts[12].display_name | Type (biology) |
| concepts[13].id | https://openalex.org/C118615104 |
| concepts[13].level | 1 |
| concepts[13].score | 0.290093332529068 |
| concepts[13].wikidata | https://www.wikidata.org/wiki/Q121416 |
| concepts[13].display_name | Discrete mathematics |
| concepts[14].id | https://openalex.org/C55112680 |
| concepts[14].level | 3 |
| concepts[14].score | 0.2748614549636841 |
| concepts[14].wikidata | https://www.wikidata.org/wiki/Q190549 |
| concepts[14].display_name | Functional analysis |
| concepts[15].id | https://openalex.org/C25343380 |
| concepts[15].level | 2 |
| concepts[15].score | 0.2699275016784668 |
| concepts[15].wikidata | https://www.wikidata.org/wiki/Q277521 |
| concepts[15].display_name | Relation (database) |
| concepts[16].id | https://openalex.org/C172294467 |
| concepts[16].level | 3 |
| concepts[16].score | 0.2544713020324707 |
| concepts[16].wikidata | https://www.wikidata.org/wiki/Q305936 |
| concepts[16].display_name | Lp space |
| keywords[0].id | https://openalex.org/keywords/holomorphic-function |
| keywords[0].score | 0.8553950786590576 |
| keywords[0].display_name | Holomorphic function |
| keywords[1].id | https://openalex.org/keywords/banach-space |
| keywords[1].score | 0.6434131264686584 |
| keywords[1].display_name | Banach space |
| keywords[2].id | https://openalex.org/keywords/characterization |
| keywords[2].score | 0.5009191036224365 |
| keywords[2].display_name | Characterization (materials science) |
| keywords[3].id | https://openalex.org/keywords/function |
| keywords[3].score | 0.4632713496685028 |
| keywords[3].display_name | Function (biology) |
| keywords[4].id | https://openalex.org/keywords/space |
| keywords[4].score | 0.4351116120815277 |
| keywords[4].display_name | Space (punctuation) |
| keywords[5].id | https://openalex.org/keywords/function-space |
| keywords[5].score | 0.3928234875202179 |
| keywords[5].display_name | Function space |
| keywords[6].id | https://openalex.org/keywords/holomorphic-functional-calculus |
| keywords[6].score | 0.3533240854740143 |
| keywords[6].display_name | Holomorphic functional calculus |
| language | |
| locations[0].id | pmh:oai:arXiv.org:2512.06831 |
| locations[0].is_oa | True |
| locations[0].source.id | https://openalex.org/S4306400194 |
| locations[0].source.issn | |
| locations[0].source.type | repository |
| locations[0].source.is_oa | True |
| locations[0].source.issn_l | |
| locations[0].source.is_core | False |
| locations[0].source.is_in_doaj | False |
| locations[0].source.display_name | arXiv (Cornell University) |
| locations[0].source.host_organization | https://openalex.org/I205783295 |
| locations[0].source.host_organization_name | Cornell University |
| locations[0].source.host_organization_lineage | https://openalex.org/I205783295 |
| locations[0].license | |
| locations[0].pdf_url | https://arxiv.org/pdf/2512.06831 |
| locations[0].version | submittedVersion |
| locations[0].raw_type | text |
| locations[0].license_id | |
| locations[0].is_accepted | False |
| locations[0].is_published | False |
| locations[0].raw_source_name | |
| locations[0].landing_page_url | http://arxiv.org/abs/2512.06831 |
| indexed_in | arxiv |
| authorships[0].author.id | |
| authorships[0].author.orcid | |
| authorships[0].author.display_name | Chalmoukis, Nikolaos |
| authorships[0].author_position | first |
| authorships[0].raw_author_name | Chalmoukis, Nikolaos |
| authorships[0].is_corresponding | True |
| authorships[1].author.id | |
| authorships[1].author.orcid | |
| authorships[1].author.display_name | Sarfatti, Giulia |
| authorships[1].author_position | last |
| authorships[1].raw_author_name | Sarfatti, Giulia |
| authorships[1].is_corresponding | False |
| has_content.pdf | False |
| has_content.grobid_xml | False |
| is_paratext | False |
| open_access.is_oa | True |
| open_access.oa_url | https://arxiv.org/pdf/2512.06831 |
| open_access.oa_status | green |
| open_access.any_repository_has_fulltext | False |
| created_date | 2025-12-11T00:00:00 |
| display_name | Quaternionic Carleson measures |
| has_fulltext | False |
| is_retracted | False |
| updated_date | 2025-12-11T00:24:52.286860 |
| primary_topic.id | https://openalex.org/T12037 |
| primary_topic.field.id | https://openalex.org/fields/26 |
| primary_topic.field.display_name | Mathematics |
| primary_topic.score | 0.7946848273277283 |
| primary_topic.domain.id | https://openalex.org/domains/3 |
| primary_topic.domain.display_name | Physical Sciences |
| primary_topic.subfield.id | https://openalex.org/subfields/2604 |
| primary_topic.subfield.display_name | Applied Mathematics |
| primary_topic.display_name | Algebraic and Geometric Analysis |
| cited_by_count | 0 |
| locations_count | 1 |
| best_oa_location.id | pmh:oai:arXiv.org:2512.06831 |
| best_oa_location.is_oa | True |
| best_oa_location.source.id | https://openalex.org/S4306400194 |
| best_oa_location.source.issn | |
| best_oa_location.source.type | repository |
| best_oa_location.source.is_oa | True |
| best_oa_location.source.issn_l | |
| best_oa_location.source.is_core | False |
| best_oa_location.source.is_in_doaj | False |
| best_oa_location.source.display_name | arXiv (Cornell University) |
| best_oa_location.source.host_organization | https://openalex.org/I205783295 |
| best_oa_location.source.host_organization_name | Cornell University |
| best_oa_location.source.host_organization_lineage | https://openalex.org/I205783295 |
| best_oa_location.license | |
| best_oa_location.pdf_url | https://arxiv.org/pdf/2512.06831 |
| best_oa_location.version | submittedVersion |
| best_oa_location.raw_type | text |
| best_oa_location.license_id | |
| best_oa_location.is_accepted | False |
| best_oa_location.is_published | False |
| best_oa_location.raw_source_name | |
| best_oa_location.landing_page_url | http://arxiv.org/abs/2512.06831 |
| primary_location.id | pmh:oai:arXiv.org:2512.06831 |
| primary_location.is_oa | True |
| primary_location.source.id | https://openalex.org/S4306400194 |
| primary_location.source.issn | |
| primary_location.source.type | repository |
| primary_location.source.is_oa | True |
| primary_location.source.issn_l | |
| primary_location.source.is_core | False |
| primary_location.source.is_in_doaj | False |
| primary_location.source.display_name | arXiv (Cornell University) |
| primary_location.source.host_organization | https://openalex.org/I205783295 |
| primary_location.source.host_organization_name | Cornell University |
| primary_location.source.host_organization_lineage | https://openalex.org/I205783295 |
| primary_location.license | |
| primary_location.pdf_url | https://arxiv.org/pdf/2512.06831 |
| primary_location.version | submittedVersion |
| primary_location.raw_type | text |
| primary_location.license_id | |
| primary_location.is_accepted | False |
| primary_location.is_published | False |
| primary_location.raw_source_name | |
| primary_location.landing_page_url | http://arxiv.org/abs/2512.06831 |
| publication_date | 2025-12-07 |
| publication_year | 2025 |
| referenced_works_count | 0 |
| abstract_inverted_index.a | 5, 9, 18, 58, 87, 91, 100 |
| abstract_inverted_index.In | 0 |
| abstract_inverted_index.To | 31 |
| abstract_inverted_index.in | 51, 72 |
| abstract_inverted_index.is | 57 |
| abstract_inverted_index.of | 8, 13, 22, 34, 43, 47, 60, 74, 79 |
| abstract_inverted_index.on | 99 |
| abstract_inverted_index.so | 94 |
| abstract_inverted_index.to | 90 |
| abstract_inverted_index.we | 3, 26 |
| abstract_inverted_index.Our | 54 |
| abstract_inverted_index.all | 40 |
| abstract_inverted_index.and | 62 |
| abstract_inverted_index.far | 95 |
| abstract_inverted_index.for | 66 |
| abstract_inverted_index.has | 96 |
| abstract_inverted_index.its | 28 |
| abstract_inverted_index.our | 35 |
| abstract_inverted_index.the | 32, 52, 75, 80 |
| abstract_inverted_index.This | 85 |
| abstract_inverted_index.been | 97 |
| abstract_inverted_index.best | 33 |
| abstract_inverted_index.call | 27 |
| abstract_inverted_index.from | 17 |
| abstract_inverted_index.main | 55 |
| abstract_inverted_index.such | 67 |
| abstract_inverted_index.that | 93 |
| abstract_inverted_index.this | 1, 37 |
| abstract_inverted_index.given | 19 |
| abstract_inverted_index.known | 41 |
| abstract_inverted_index.lift. | 30 |
| abstract_inverted_index.paper | 2 |
| abstract_inverted_index.slice | 14, 48 |
| abstract_inverted_index.space | 12, 21 |
| abstract_inverted_index.terms | 73 |
| abstract_inverted_index.which | 25 |
| abstract_inverted_index.Banach | 11, 20, 45, 69 |
| abstract_inverted_index.basis. | 102 |
| abstract_inverted_index.offers | 86 |
| abstract_inverted_index.result | 56 |
| abstract_inverted_index.space. | 84 |
| abstract_inverted_index.spaces | 46, 71 |
| abstract_inverted_index.general | 6 |
| abstract_inverted_index.problem | 92 |
| abstract_inverted_index.provide | 4 |
| abstract_inverted_index.regular | 15, 49 |
| abstract_inverted_index.treated | 98 |
| abstract_inverted_index.unified | 88 |
| abstract_inverted_index.Carleson | 61, 64, 77 |
| abstract_inverted_index.approach | 89 |
| abstract_inverted_index.examples | 42 |
| abstract_inverted_index.function | 70, 83 |
| abstract_inverted_index.measures | 65, 78 |
| abstract_inverted_index.functions | 16, 50 |
| abstract_inverted_index.vanishing | 63 |
| abstract_inverted_index.functions, | 24 |
| abstract_inverted_index.knowledge, | 36 |
| abstract_inverted_index.underlying | 81 |
| abstract_inverted_index.encompasses | 39 |
| abstract_inverted_index.holomorphic | 23, 82 |
| abstract_inverted_index.literature. | 53 |
| abstract_inverted_index.case-by-case | 101 |
| abstract_inverted_index.construction | 7, 38 |
| abstract_inverted_index.quaternionic | 10, 29, 44, 68 |
| abstract_inverted_index.corresponding | 76 |
| abstract_inverted_index.characterization | 59 |
| cited_by_percentile_year | |
| countries_distinct_count | 0 |
| institutions_distinct_count | 2 |
| citation_normalized_percentile.value | 0.88172901 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | True |