Behavior of a singular integral with Hilbert kernel at a point of weak continuity of its density

DOI10.3103/S1066369X13060042zbMath1279.45004MaRDI QIDQ384592

R. B. Salimov

Publication date: 28 November 2013

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

zbMATH Keywords

singular integralweak continuityHilbert kernelHölder condition

Mathematics Subject Classification ID

Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (2)

New asymptotic representation for singular integral with Hilbert kernel near a point of weak continuity of density ⋮ Asymptotical representation of singular integral with the Hilbert kernel near a point of weak continuity of density

Cites Work

• The behavior of a singular integral with the Hilbert kernel near a point where the density of the integral is weakly continuous
• The Riemann-Hilbert problem in a complicated domain for a model of magnetic reconnection in a plasma
• Hilbert boundary value problem for multiply connected domains
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