On weights which admit harmonic Bergman kernel and minimal solutions of Laplace's equation

DOI10.2478/amsil-2022-0016OpenAlexW4296045795MaRDI QIDQ2081361

Tomasz Łukasz Żynda

Publication date: 12 October 2022

Published in: Annales Mathematicae Silesianae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/amsil-2022-0016

zbMATH Keywords

Laplace equationminimal solutionharmonic Bergman kernelreproducing kernel Hilbert spaceadmissible weightfunctional of point evaluationweight of integration

Mathematics Subject Classification ID

Second-order elliptic equations (35J15) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Minimal and maximal solutions to first-order differential equations with state-dependent deviated arguments
• On weights which admit the reproducing kernel of Bergman type
• A simplification and extension of Fefferman's theorem on biholomorphic mappings
• Weighted harmonic Bergman kernel on half-spaces
• Harmonic Function Theory
• Maximal and Minimal Solutions to a Class of Elliptic Quasilinear Problems
• Harmonic Bergman Functions on Half-Spaces
• Estimates of the harmonic Bergman kernel on smooth domains

This page was built for publication: On weights which admit harmonic Bergman kernel and minimal solutions of Laplace's equation