The wavelet characterization of Herz-type Hardy spaces with variable exponent
نویسندگان
چکیده
منابع مشابه
The Wavelet Characterization of Herz-type Hardy Spaces with Variable Exponent
In this paper, using the atomic theory of the Herz-type Hardy spaces with variable exponent, we give their wavelet characterization by means of some discrete tent spaces with variable exponent at the origin.
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The origin of Herz spaces is the study of characterization of functions and multipliers on the classical Hardy spaces ([1, 8]). By virtue of many authors’ works Herz spaces have became one of the remarkable classes of function spaces in harmonic analysis now. One of the important problems on the spaces is boundedness of sublinear operators satisfying proper conditions. Hernández, Li, Lu and Yan...
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This paper focuses on the bounds of weighted multilinear Hardy operators on the product Herz spaces and the product Morrey-Herz spaces, respectively. We present a sufficient condition on the weight function that guarantees weighted multilinear Hardy operators to be bounded on the product Herz spaces. And the condition is necessary under certain assumptions. Finally, we extend the obtained resul...
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ژورنال
عنوان ژورنال: Annals of Functional Analysis
سال: 2012
ISSN: 2008-8752
DOI: 10.15352/afa/1399900030