Sufficient conditions for boundedness of convolution operators in rearrangement-invariant spaces (Q2773581)
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scientific article; zbMATH DE number 1710215
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sufficient conditions for boundedness of convolution operators in rearrangement-invariant spaces |
scientific article; zbMATH DE number 1710215 |
Statements
24 February 2002
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integral operator
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convolution operator
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rearrangement-invariant space
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boundedness of convolution integral operators
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Sufficient conditions for boundedness of convolution operators in rearrangement-invariant spaces (English)
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The main aim of the article is to study a connection between the sufficient condition of Hardy-Littlewood-Sobolev type and those of Hörmander type for boundedness of convolution integral operators in rearrangement-invariant spaces which were obtained by \textit{S.~G.~Krejn}, \textit{Yu.~I.~Petunin}, and \textit{E.~M.~Semenov} [Interpolation of linear operators (Russian), Nauka, Moscow (1978; Zbl 0499.46044)].
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