New bounds for Stein's square functions in higher dimensions Article Swipe
Shengwen Gan
,
Changkeun Oh
,
Shukun Wu
·
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2108.11567
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2108.11567
We improve the $L^p(\mathbb{R}^n)$ bounds on Stein's square function to the best-known range of the Fourier restriction problem when $n\geq4$. Applications including certain local smoothing estimates are also discussed.
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Metadata
- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2108.11567
- https://arxiv.org/pdf/2108.11567
- OA Status
- green
- Cited By
- 1
- References
- 32
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W3195051610
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https://openalex.org/W3195051610Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.2108.11567Digital Object Identifier
- Title
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New bounds for Stein's square functions in higher dimensionsWork title
- Type
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preprintOpenAlex work type
- Language
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enPrimary language
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2021Year of publication
- Publication date
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2021-08-26Full publication date if available
- Authors
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Shengwen Gan, Changkeun Oh, Shukun WuList of authors in order
- Landing page
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https://arxiv.org/abs/2108.11567Publisher landing page
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https://arxiv.org/pdf/2108.11567Direct link to full text PDF
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YesWhether a free full text is available
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greenOpen access status per OpenAlex
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https://arxiv.org/pdf/2108.11567Direct OA link when available
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Smoothing, Square (algebra), Range (aeronautics), Mathematics, Function (biology), Fourier transform, Combinatorics, Applied mathematics, Pure mathematics, Mathematical analysis, Statistics, Geometry, Engineering, Aerospace engineering, Biology, Evolutionary biologyTop concepts (fields/topics) attached by OpenAlex
- Cited by
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1Total citation count in OpenAlex
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2022: 1Per-year citation counts (last 5 years)
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32Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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