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

J. Zhao

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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