On the formula of Jacques-Louis Lions for reproducing kernels of harmonic and other functions

DOI10.1515/crll.2004.035zbMath1053.46016OpenAlexW2079976075MaRDI QIDQ4810843

Lars-Erik Persson, Miroslav Engliš, Jaak Peetre, Dag Lukkassen

Publication date: 17 August 2004

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: http://urn.kb.se/resolve?urn=urn:nbn:se:ltu:diva-10270

zbMATH Keywords

harmonic functionsreproducing kernels

Mathematics Subject Classification ID

Existence theories for free problems in two or more independent variables (49J10) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Integral representations, integral operators, integral equations methods in higher dimensions (31B10)

Related Items

Hardy and singular operators in weighted generalized Morrey spaces with applications to singular integral equations, The S.V.D. of the Poisson kernel, Positive solutions of elliptic problems involving both critical Sobolev nonlinearities on exterior regions, A boundary formula for reproducing kernel Hilbert spaces of real harmonic functions in Lipschitz domains

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