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Fredholm equations with multi-dimensional partial integrals in anisotropic Lebesgue spaces - MaRDI portal

Fredholm equations with multi-dimensional partial integrals in anisotropic Lebesgue spaces (Q2027491)

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scientific article; zbMATH DE number 7351547
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Fredholm equations with multi-dimensional partial integrals in anisotropic Lebesgue spaces
scientific article; zbMATH DE number 7351547

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    Fredholm equations with multi-dimensional partial integrals in anisotropic Lebesgue spaces (English)
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    27 May 2021
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    Partial integral operators have been studied in great detail by A. S. Kalitvin and coauthors; a good state-of-the-art can be found in the monograph published by the reviewer et al. [Partial integral operators and integro-differential equations. New York, NY: Marcel Dekker (2000; Zbl 0949.45006)], which surprisingly, is missing in the list of references. In this paper, the authors prove unique solvability of a Fredholm equation involving partial integral operators in anisotropic Lebesgue space.
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    Fredholm equation
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    partial integral operators
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    anisotropic Lebesgue space
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