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Variable Hardy Spaces on the Heisenberg Group

Variable Hardy Spaces on the Heisenberg Group
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Year:    2016

Author:    Jingxuan Fang, Jiman Zhao

Analysis in Theory and Applications, Vol. 32 (2016), Iss. 3 : pp. 242–271

Abstract

We consider Hardy spaces with variable exponents defined by grand maximal function on the Heisenberg group. Then we introduce some equivalent characterizations of variable Hardy spaces. By using atomic decomposition and molecular decomposition we get the boundedness of singular integral operators on variable Hardy spaces. We investigate the Littlewood-Paley characterization by virtue of the boundedness of singular integral operators.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/ata.2016.v32.n3.4

Analysis in Theory and Applications, Vol. 32 (2016), Iss. 3 : pp. 242–271

Published online:    2016-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    30

Keywords:    Hardy spaces variable exponents Heisenberg group atomic decomposition Littlewood-Paley characterization.

Author Details

Jingxuan Fang

Jiman Zhao

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