Inversion of integral of B-potential type with density from \(\Phi _{\gamma }\)

DOI10.1007/s10958-009-9487-yzbMath1182.31005OpenAlexW1999159488MaRDI QIDQ844386

Elina Leonidovna Shishkina

Publication date: 19 January 2010

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-009-9487-y

zbMATH Keywords

Bessel singular differential operatorintegral operator of potential typeshift of mixed type

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Integral representations, integral operators, integral equations methods in higher dimensions (31B10)

Related Items (2)

Inversion of Hyperbolic B-Potentials ⋮ Hyperbolic B-Potentials: Properties and Inversion

Cites Work

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• Inversion of general Riesz \(B\)-potentials with homogeneous characteristic in weight classes of functions
• Generalized Riesz B-potentials of the mixed type
• Generalized differences and general hypersingular integrals

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