Harmonic functions, Riesz potentials, and the Lipschitz spaces of Herz

zbMath0403.31003MaRDI QIDQ1256103

Bui Huy Qui

Publication date: 1979

Published in: Hiroshima Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Duality TheoryRiesz PotentialsHarmonic FunctionsHomogeneous Besov SpacePoisson KernelTemperaturesTraces of Harmonic Functions

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Integral representations of solutions to PDEs (35C15) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) (H^p)-spaces (42B30) Potentials and capacities, extremal length and related notions in higher dimensions (31B15) Fundamental solutions to PDEs and systems of PDEs with constant coefficients (35E05)

Related Items (11)

On the theory of homogeneous Lipschitz spaces and mean oscillation spaces ⋮ Applications of multiresolution analysis in Besov-Q type spaces and Triebel-Lizorkin-Q type spaces ⋮ Unnamed Item ⋮ Boundary values of harmonic functions in spaces of Triebel-Lizorkin type ⋮ A Besov algebra calculus for generators of operator semigroups and related norm-estimates ⋮ Besov spaces and Bessel potential spaces on certain groups ⋮ A characterisation of the Besov-Lipschitz and Triebel-Lizorkin spaces using Poisson like kernels ⋮ Characterizations of weighted Besov and Triebel-Lizorkin spaces via temperatures ⋮ Characterizations of weighted Besov and Triebel-Lizorkin spaces via temperatures ⋮ Calderón reproducing formulas and new Besov spaces associated with operators ⋮ Mean Hölder-Lipschitz potentials in curved Campanato-Radon spaces and equations \((-\Delta)^{\frac{\alpha}{2}}u=\mu = F_k[u\)]

This page was built for publication: Harmonic functions, Riesz potentials, and the Lipschitz spaces of Herz