On generalized Bessel potentials and perfect functional completions

DOI10.1134/s1063454123020036OpenAlexW4379795963MaRDI QIDQ6170828

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Publication date: 13 July 2023

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1063454123020036

zbMATH Keywords

generalized Bessel potentialperfect completion of spaces

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Integro-differential operators (47G20)

Cites Work

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• Functional spaces and functional completion
• Theory of Bessel potentials. I
• On the cones of rearrangements for generalized Bessel and Riesz potentials
• Generalized Bessel potential and its application to non-homogeneous singular screened Poisson equation
• On the Theory of Spaces of Generalized Bessel Potentials
• Temperatures, Bessel Potentials and Lipschitz Spaces

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