On some integral operators related to the Poisson equation

DOI10.1007/s00020-012-1952-1zbMath1262.47070OpenAlexW2026704247MaRDI QIDQ434302

David Kalaj

Publication date: 10 July 2012

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-012-1952-1

zbMATH Keywords

Poisson equationintegral operatorseigenvalues and eigenfunctions

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Applications of operator theory to differential and integral equations (47N20) Linear operators on function spaces (general) (47B38) Integral operators (47G10) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

Related Items (6)

Properties of analytic Morrey spaces and applications ⋮ Norm estimates of the Cauchy transform and related operators ⋮ The solution operator of the inhomogeneous Dirichlet problem in the unit ball ⋮ On a quasilinear Poisson equation in the plane ⋮ Semi-linear equations and quasiconformal mappings ⋮ The Schwarz type lemmas and the Landau type theorem of mappings satisfying Poisson's equations

Cites Work

• Cauchy transform and Poisson's equation
• Norm estimate of the Cauchy transform on \(L^p(\Omega)\)
• The Cauchy Transform on Bounded Domains
• Spectral Properties of Some Integral Operators Arising in Potential Theory
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