Variable Exponent Herz Type Hardy Spaces and Their Applications

Variable Exponent Herz Type Hardy Spaces and Their Applications

Year:    2015

Analysis in Theory and Applications, Vol. 31 (2015), Iss. 4 : pp. 321–353

Abstract

In this paper, the authors introduce certain Herz type Hardy spaces with variable exponents and establish the characterizations of these spaces in terms of atomic and molecular decompositions. Using these decompositions, the authors obtain the boundedness of some singular integral operators on the Herz type Hardy spaces with variable exponents.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/ata.2015.v31.n4.1

Analysis in Theory and Applications, Vol. 31 (2015), Iss. 4 : pp. 321–353

Published online:    2015-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    33

Keywords:    Hardy space Herz space variable exponent maximal function atom molecule.