Extrapolation to Herz spaces with variable exponents and applications (Q1987367)
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scientific article; zbMATH DE number 7189304
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Extrapolation to Herz spaces with variable exponents and applications |
scientific article; zbMATH DE number 7189304 |
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Extrapolation to Herz spaces with variable exponents and applications (English)
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14 April 2020
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This paper extends the extrapolation theory to Herz spaces with variable exponents. The extrapolation theory was applied to obtain the John-Nirenberg inequalities, the characterizations of BMO and the boundedness of the geometrical maximal operator. This extrapolation theory had been further refined in [\textit{K.-P. Ho}, Rend. Circ. Mat. Palermo (2) 70, No. 1, 559--574 (2021; Zbl 1462.42030)] to obtain the boundedness of the spherical maximal function and the maximal Bochner-Riesz mean on Herz spaces with variable exponents.
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Herz spaces
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variable exponents
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extrapolation
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Fefferman-Stein inequality
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bounded mean oscillations
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John-Nirenberg inequality
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Rubio de Francia inequality
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geometrical maximal operator
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