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Volume 32, Issue 3
Variable Hardy Spaces on the Heisenberg Group

Jingxuan Fang & Jiman Zhao

DOI: 10.4208/ata.2016.v32.n3.4

Anal. Theory Appl., 32 (2016), pp. 242-271.

Published online: 2016-07

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  • 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.

  • Keywords

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

  • AMS Subject Headings

42B20, 42B25, 42B30, 42B35, 43A80

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{ATA-32-242, author = {Jingxuan Fang , and Zhao , Jiman}, title = {Variable Hardy Spaces on the Heisenberg Group}, journal = {Analysis in Theory and Applications}, year = {2016}, volume = {32}, number = {3}, pages = {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.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2016.v32.n3.4}, url = {http://global-sci.org/intro/article_detail/ata/4669.html} }
TY - JOUR T1 - Variable Hardy Spaces on the Heisenberg Group AU - Jingxuan Fang , AU - Zhao , Jiman JO - Analysis in Theory and Applications VL - 3 SP - 242 EP - 271 PY - 2016 DA - 2016/07 SN - 32 DO - http://doi.org/10.4208/ata.2016.v32.n3.4 UR - https://global-sci.org/intro/article_detail/ata/4669.html KW - Hardy spaces, variable exponents, Heisenberg group, atomic decomposition, Littlewood-Paley characterization. AB -

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.

Jingxuan Fang , and Zhao , Jiman. (2016). Variable Hardy Spaces on the Heisenberg Group. Analysis in Theory and Applications. 32 (3). 242-271. doi:10.4208/ata.2016.v32.n3.4
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