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 - <p style="text-align: justify;">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.</p>