Multilinear rough singular integral operators

Loukas Grafakos; Danqing He; Petr Honzík; Bae Jun Park

doi:10.1112/jlms.12867

Multilinear rough singular integral operators

Loukas Grafakos
, Danqing He
, Petr Honzík
, Bae Jun Park

Department of Mathematics

University of Missouri
Fudan University
Charles University

Research output: Contribution to journal › Article › peer-review

Abstract

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

Original language	English
Article number	e12867
Journal	Journal of the London Mathematical Society
Volume	109
Issue number	2
DOIs	https://doi.org/10.1112/jlms.12867
State	Published - Feb 2024

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10.1112/jlms.12867

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author = "Loukas Grafakos and Danqing He and Petr Honz{\'i}k and Park, \{Bae Jun\}",

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AU - Park, Bae Jun

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Multilinear rough singular integral operators

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