Bump conditions and two-weight inequalities for commutators of fractional integrals Article Swipe
Related Concepts
Converse
Iterated function
Mathematics
Pure mathematics
Type (biology)
Mathematical analysis
Geometry
Ecology
Biology
Yongming Wen
,
Huoxiong Wu
·
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2107.03314
· OA: W3179865856
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2107.03314
· OA: W3179865856
This paper gives new two-weight bump conditions for the sparse operators related to iterated commutators of fractional integrals. As applications, the two-weight bounds for iterated commutators of fractional integrals under more general bump conditions are obtained. Meanwhile, the necessity of two-weight bump conditions as well as the converse of Bloom type estimates for iterated commutators of fractional integrals are also given.
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