Nonlinear commutators on Morrey-Banach spaces (Q2050512)
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scientific article; zbMATH DE number 7388684
| Language | Label | Description | Also known as |
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| English | Nonlinear commutators on Morrey-Banach spaces |
scientific article; zbMATH DE number 7388684 |
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Nonlinear commutators on Morrey-Banach spaces (English)
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31 August 2021
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This paper studies the boundedness of the nonlinear commutator of Calderón-Zygmund operators on Morrey-Banach spaces. The commutator introduced by \textit{R. Rochberg} and \textit{G. Weiss} [Ann. Math. (2) 118, 315--347 (1983; Zbl 0539.46049)] has the form \(N(f)=T(f\log |f|)-T(f)\log |T(f)|\), where \(T\) is the Calderón-Zygmund operator. In particular, boundedness results on the Morrey-Lorentz spaces and the Morrey spaces with variable exponents are established.
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nonlinear commutator
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Calderón-Zygmund operators
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Morrey space
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Morrey-Lorentz spaces
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variable exponent
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Banach function space
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