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2012 THE HERZ-TYPE HARDY SPACES WITH VARIABLE EXPONENT AND THEIR APPLICATIONS
Hongbin Wang, Zongguang Liu
Taiwanese J. Math. 16(4): 1363-1389 (2012). DOI: 10.11650/twjm/1500406739

Abstract

In this paper, a certain Herz-type Hardy spaces with variable exponent are introduced, and characterizations of these spaces are established in terms of atomic and molecular decompositions. Using these decompositions, the authors obtain the boundedness of some operators on the Herz-type Hardy spaces with variable exponent.

Citation

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Hongbin Wang. Zongguang Liu. "THE HERZ-TYPE HARDY SPACES WITH VARIABLE EXPONENT AND THEIR APPLICATIONS." Taiwanese J. Math. 16 (4) 1363 - 1389, 2012. https://doi.org/10.11650/twjm/1500406739

Information

Published: 2012
First available in Project Euclid: 18 July 2017

zbMATH: 1260.42012
MathSciNet: MR2951143
Digital Object Identifier: 10.11650/twjm/1500406739

Subjects:
Primary: 42B20 , 42B30 , 42B35

Keywords: atomic decomposition , Herz-type Hardy space , molecular decomposition , operators , ‎variable exponent

Rights: Copyright © 2012 The Mathematical Society of the Republic of China

Vol.16 • No. 4 • 2012
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