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Variable Hardy Spaces on the Heisenberg Group

Variable Hardy Spaces on the Heisenberg Group
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摘要 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. 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.
出处 《Analysis in Theory and Applications》 CSCD 2016年第3期242-271,共30页 分析理论与应用(英文刊)
关键词 Hardy spaces variable exponents Heisenberg group atomic decomposition Littlewood-Paley characterization. Hardy spaces, variable exponents, Heisenberg group, atomic decomposition, Littlewood-Paley characterization.
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