## Abstract

In this paper, it is shown that bilinear Calderón–Zygmund operators are bounded from products of variable Hardy spaces into variable Lebesgue or Hardy spaces.

Show Summary Details# Bilinear Calderón–Zygmund operators on products of variable Hardy spaces

## Abstract

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Managing Editor: Bruinier, Jan Hendrik

Ed. by Blomer, Valentin / Cohen, Frederick R. / Droste, Manfred / Duzaar, Frank / Echterhoff, Siegfried / Frahm, Jan / Gordina, Maria / Shahidi, Freydoon / Sogge, Christopher D. / Takayama, Shigeharu / Wienhard, Anna

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Get Access to Full TextIn this paper, it is shown that bilinear Calderón–Zygmund operators are bounded from products of variable Hardy spaces into variable Lebesgue or Hardy spaces.

Keywords: Bilinear Calderón–Zygmund operators; variable exponent; atomic decomposition; Hardy space

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**Received**: 2018-04-13

**Published Online**: 2018-09-20

**Published in Print**: 2019-01-01

**Funding Source: **Natural Science Foundation of Jiangsu Province

**Award identifier / Grant number: **BK20180734

**Funding Source: **Nanjing University of Posts and Telecommunications

**Award identifier / Grant number: **NY217151

The project is sponsored by Natural Science Foundation of Jiangsu Province of China (grant no. BK20180734), Natural Science Foundation for Colleges and Universities in Jiangsu Province (grant no. 18KJB110022) and Nanjing University of Posts and Telecommunications Science Foundation (grant no. NY217151).

**Citation Information: **Forum Mathematicum, Volume 31, Issue 1, Pages 187–198, ISSN (Online) 1435-5337, ISSN (Print) 0933-7741, DOI: https://doi.org/10.1515/forum-2018-0082.

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