On a Riemann boundary value problem in the space of \(p\)-summable functions with infinite index

DOI10.3103/S1068362322060024OpenAlexW4312116873MaRDI QIDQ2694164

S. A. Aghekyan

Publication date: 28 March 2023

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1068362322060024

zbMATH Keywords

Riemann boundary value problemfactorizationweighted spacehomogeneous problemSokhotski-Plemelj formula

Mathematics Subject Classification ID

Boundary value problems in the complex plane (30E25) Riemann-Hilbert problems in context of PDEs (35Q15)

Cites Work

• Cauchy problem in the class of monotone increasing functions
• Hilbert boundary value problem in the half-plane for weighted spaces
• Summability of generalized Fourier series and Dirichlet's problem in \(L^ p(d\mu)\) and weighted \(H^ p\)-spaces \((p>1)\)
• The method of Cauchy-type integrals in discontinuous boundary value problems of the theory of holomorphic functions of a complex variable
• Hilbert boundary value problem in half-plane in the sense of \(L^1\)-convergence
• The Riemann boundary problem in spaces with a weight that admits singularities.
• On a Riemann boundary value problem in the half-plane in the class of weighted continuous functions
• A FUNCTION THEORY METHOD IN BOUNDARY VALUE PROBLEMS IN THE PLANE. I: THE SMOOTH CASE
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