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.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
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.