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Multilinear rough singular integral operators

Published:2024-02 Issue:2 Volume:109 Page:
ISSN:0024-6107
Container-title:Journal of the London Mathematical Society
language:en
Short-container-title:Journal of London Math Soc

Author:

Grafakos Loukas¹,He Danqing²,Honzík Petr³,Park Bae Jun⁴

Affiliation:

1. Department of Mathematics University of Missouri Columbia Missouri USA

2. School of Mathematical Sciences Fudan University Shanghai China

3. Department of Mathematics Charles University Prague Czech Republic

4. Department of Mathematics Sungkyunkwan University Suwon Republic of Korea

Abstract

AbstractWe study ‐linear homogeneous rough singular integral operators associated with integrable functions on with mean value zero. We prove boundedness for from to when and in the largest possible open set of exponents when and . This set can be described by a convex polyhedron in .

Funder

National Key Research and Development Program of China

National Natural Science Foundation of China

Natural Science Foundation of Shanghai Municipality

Simons Foundation

National Research Foundation

Publisher

Wiley

Link

https://londmathsoc.onlinelibrary.wiley.com/doi/pdf/10.1112/jlms.12867

Reference31 articles.

1. Weighted estimates for rough bilinear singular integrals via sparse domination;Barron A.;New York J. Math.,2017

2. On Singular Integrals

3. Weighted Inequalities for Bilinear Rough Singular Integrals from $$L^2\times L^2$$ L 2 × L 2 to $$L^1$$ L 1

4. Cp$C_p$ estimates for rough homogeneous singular integrals and sparse forms;Canto J.;Ann. Sc. Norm. Super. Pisa Cl. Sci. (5),2021

5. Weak Type (1, 1) Bounds for Rough Operators

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