The behavior of a singular integral with the Hilbert kernel near a point where the density of the integral is weakly continuous

DOI10.3103/S1066369X12060072zbMath1254.42028MaRDI QIDQ1759291

R. B. Salimov

Publication date: 20 November 2012

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

singular integralweak continuityHilbert kernel

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20)

Related Items (2)

Behavior of a singular integral with Hilbert kernel at a point of weak continuity of its density ⋮ Explicit forms of the Schwarz integral with applications for inverse boundary-value problems

Cites Work

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• The Riemann-Hilbert problem in a complicated domain for a model of magnetic reconnection in a plasma
• The Hilbert boundary-value problem with a finite index and a countable set of jump discontinuities in coefficients
• Hilbert boundary value problem for multiply connected domains

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