Boundedness of maximal operator for multilinear Calderón–Zygmund operators on products of variable Hardy spaces

Jian Tan

doi:10.1215/21562261-2019-0043

Abstract

In this paper, we obtain boundedness of the maximal operator associated with multilinear Calderón–Zygmund singular integral operators from a product of variable Hardy spaces into variable Lebesgue spaces.

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Jian Tan. "Boundedness of maximal operator for multilinear Calderón–Zygmund operators on products of variable Hardy spaces." Kyoto J. Math. 60 (2) 561 - 574, June 2020. https://doi.org/10.1215/21562261-2019-0043

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Received: 15 June 2017; Revised: 28 December 2017; Accepted: 9 January 2018; Published: June 2020

First available in Project Euclid: 23 January 2020

zbMATH: 07223245

MathSciNet: MR4094744

Digital Object Identifier: 10.1215/21562261-2019-0043

Subjects:

Primary: 42B20

Secondary: 42B30

Keywords: atomic decomposition , Hardy space , multilinear Calderón–Zygmund operators , ‎variable exponent

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