Boundary value problems in weighted spaces of polyanalytic functions in half-plane

DOI10.3103/S1068362312010013zbMath1302.35157OpenAlexW2087106637MaRDI QIDQ468786

H. M. Hayrapetyan, A. R. Hayrapetyan

Publication date: 10 November 2014

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/s1068362312010013

zbMATH Keywords

Dirichlet problemboundary value problemweighted spacesimproperly ellipticity

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Boundary values of solutions to elliptic equations and elliptic systems (35J67) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Riemann-Hilbert problems in context of PDEs (35Q15) Higher-order elliptic equations (35J30)

Related Items (8)

Singular integral operator involving higher order Lipschitz classes ⋮ Cauchy integral operators involving higher order Lipschitz classes in the poly-analytic function theory ⋮ A Cauchy transform for polyanalytic functions on fractal domains ⋮ The nonlinear boundary value problem for \(k\) holomorphic functions in \(\mathbb{C}^2\) ⋮ Boundary value problems with higher order Lipschitz boundary data for polymonogenic functions in fractal domains ⋮ The Plemelj-Privalov theorem in polyanalytic function theory ⋮ k-holomorphic functions in spaces of several complex variables ⋮ Formal Proofs for Nonlinear Optimization

Cites Work

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• A Riemann-Hilbert type problem for second order non-regular elliptic equation in weighted spaces
• The Schwarz problem for polyanalytic functions
• Boundary value problems for bi-polyanalytic functions
• On polyanalytic functions
• Boundary value problems for the inhomogeneous polyanalytic equation I

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