A boundary formula for reproducing kernel Hilbert spaces of real harmonic functions in Lipschitz domains
DOI10.1080/17476933.2019.1709967zbMath1470.46047arXiv1707.03013OpenAlexW2999323485WikidataQ126380038 ScholiaQ126380038MaRDI QIDQ5856114
Soumia Touhami, Abdellatif Chaira
Publication date: 24 March 2021
Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1707.03013
reproducing kernel Hilbert spacesLaplace equationharmonic spacesLipschitz domainsMoore-Penrose pseudo-inversetrace spaces
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)
Cites Work
- Caratterizzazioni delle tracce sulla frontiera relative ad alcune classi di funzioni in \(n\) variabili
- An introduction to Sobolev spaces and interpolation spaces
- The S.V.D. of the Poisson kernel
- Functional characterizations of trace spaces in Lipschitz domains
- Sous-espaces d'espaces vectoriels topologiques et noyaux associés. (Noyaux reproduisants.)
- Kernel functions in the theory of partial differential equations of elliptic type
- Boundary Integral Operators on Lipschitz Domains: Elementary Results
- Inverses Generalises D'Operateurs Non Bornes
- Inclusions and Identities for the Moore-Penrose Inverse of a Closed Linear Operator
- On the formula of Jacques-Louis Lions for reproducing kernels of harmonic and other functions
- Reproducing Kernels for Hilbert Spaces of Real Harmonic Functions
- On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space
- Theory of Reproducing Kernels
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: A boundary formula for reproducing kernel Hilbert spaces of real harmonic functions in Lipschitz domains
