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Some remarks on integral operators in Banach function spaces and representation theorems in Banach-Sobolev spaces - MaRDI portal

Some remarks on integral operators in Banach function spaces and representation theorems in Banach-Sobolev spaces (Q6612964)

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scientific article; zbMATH DE number 7920842
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English
Some remarks on integral operators in Banach function spaces and representation theorems in Banach-Sobolev spaces
scientific article; zbMATH DE number 7920842

    Statements

    Some remarks on integral operators in Banach function spaces and representation theorems in Banach-Sobolev spaces (English)
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    1 October 2024
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    The authors analyze convolution operators, integral operators with weak singularities and Riesz potentials, acting in special classes of Banach function spaces (e.g., having the additive-invariant property), and deduce some of their properties.
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    Banach function space
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    rearrangement-invariant space
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    additive-invariant
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    Sobolev space
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    integral operator
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    weak singularity
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    Riesz potential
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