Taiwanese Journal of Mathematics

THE HERZ-TYPE HARDY SPACES WITH VARIABLE EXPONENT AND THEIR APPLICATIONS

Hongbin Wang and Zongguang Liu

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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.

Article information

Source
Taiwanese J. Math., Volume 16, Number 4 (2012), 1363-1389.

Dates
First available in Project Euclid: 18 July 2017

Permanent link to this document
https://projecteuclid.org/euclid.twjm/1500406739

Digital Object Identifier
doi:10.11650/twjm/1500406739

Mathematical Reviews number (MathSciNet)
MR2951143

Zentralblatt MATH identifier
1260.42012

Subjects
Primary: 42B20: Singular and oscillatory integrals (Calderón-Zygmund, etc.) 42B30: $H^p$-spaces 42B35: Function spaces arising in harmonic analysis

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

Citation

Wang, Hongbin; Liu, Zongguang. THE HERZ-TYPE HARDY SPACES WITH VARIABLE EXPONENT AND THEIR APPLICATIONS. Taiwanese J. Math. 16 (2012), no. 4, 1363--1389. doi:10.11650/twjm/1500406739. https://projecteuclid.org/euclid.twjm/1500406739


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References

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