The Schwarz boundary value problem for boundary values in the sense of distributions

DOI10.1016/j.jmaa.2023.127690zbMath1526.30051arXiv2307.00148OpenAlexW4386002546MaRDI QIDQ6063634

William L. Blair

Publication date: 8 November 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2307.00148

zbMATH Keywords

Cauchy-Riemann equationSchwarz boundary value problem

Mathematics Subject Classification ID

Boundary value problems in the complex plane (30E25) Generalizations of Bers and Vekua type (pseudoanalytic, (p)-analytic, etc.) (30G20)

Cites Work

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• The Schwarz problem for polyanalytic functions
• A hierarchy of integral operators
• Boundary value problems in upper half plane
• On Hilbert-type boundary-value problem of poly-Hardy class on the unit disc
• Schwarz problem for higher‐order complex partial differential equations in the upper half plane
• Hörmander's \(L^2\)-method, \(\overline{\partial}\)-problem and polyanalytic function theory in one complex variable
• An atomic representation for Hardy classes of solutions to nonhomogeneous Cauchy-Riemann equations