Variable integral and smooth exponent Besov spaces associated to non-negative self-adjoint operators (Q2035149)
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scientific article; zbMATH DE number 7362859
| Language | Label | Description | Also known as |
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| English | Variable integral and smooth exponent Besov spaces associated to non-negative self-adjoint operators |
scientific article; zbMATH DE number 7362859 |
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Variable integral and smooth exponent Besov spaces associated to non-negative self-adjoint operators (English)
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24 June 2021
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The author introduces the variable integral and the smooth exponent Besov spaces associated to non-negative self-adjoint operators. In the sequel, he provides equivalent norms via Peetre type maximal functions and the atomic decomposition of these spaces. The method of \textit{G.-R. Hu} [J. Math. Anal. Appl. 411, No. 2, 753--772 (2014; Zbl 1346.46027)] is used, and so is the Peetre maximal function characterization of suitable spaces.
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Besov space
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variable exponent
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maximal function
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non-negative self-adjoint operators
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atomic decomposition
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