Interpolation theorems for variable exponent Lebesgue spaces (Q1039414)
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scientific article; zbMATH DE number 5640322
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Interpolation theorems for variable exponent Lebesgue spaces |
scientific article; zbMATH DE number 5640322 |
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Interpolation theorems for variable exponent Lebesgue spaces (English)
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30 November 2009
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The classical result of Fefferman and Stein about complex interpolation between the Lebesgue space \(L^p\) on \({\mathbb R}^n\) and the spaces \(BMO\) or \(H^1\) is extended to the case of variable exponents \(p(.)\), under the condition that the Hardy-Littlewood maximal operator is bounded in \(L^{p(.)}\).
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Hardy space
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variable exponent Lebesgue space
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complex interpolation method
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Calderón product
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