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2015 Local Herz-type Hardy spaces with variable exponent
Zongguang Liu, Hongbin Wang
Banach J. Math. Anal. 9(4): 359-378 (2015). DOI: 10.15352/bjma/09-4-17

Abstract

In this paper, we introduce a certain Herz-type Hardy space with variable exponent and establish the atom decomposition theorem for it. Using this decomposition, we obtain some boundedness on the Herz-type Hardy space with variable exponent for a class of pseudo-differential operators.

Citation

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Zongguang Liu. Hongbin Wang. "Local Herz-type Hardy spaces with variable exponent." Banach J. Math. Anal. 9 (4) 359 - 378, 2015. https://doi.org/10.15352/bjma/09-4-17

Information

Published: 2015
First available in Project Euclid: 17 April 2015

zbMATH: 1328.46027
MathSciNet: MR3336896
Digital Object Identifier: 10.15352/bjma/09-4-17

Subjects:
Primary: 46E30
Secondary: 42B30 , 42B35

Keywords: atom decomposition , Herz-type Hardy space , ‎variable exponent

Rights: Copyright © 2015 Tusi Mathematical Research Group

Vol.9 • No. 4 • 2015
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