A series expansion for generalized harmonic functions
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Publication:1981635
DOI10.1007/s13324-021-00561-wzbMath1477.31036OpenAlexW3172585432MaRDI QIDQ1981635
Anders Olofsson, Markus Klintborg
Publication date: 6 September 2021
Published in: Analysis and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13324-021-00561-w
Second-order elliptic equations (35J15) Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Classical hypergeometric functions, ({}_2F_1) (33C05)
Related Items (4)
Series representations for generalized harmonic functions in the case of three parameters ⋮ Schwarz type lemmas for generalized harmonic functions ⋮ Hölder continuity of generalized harmonic functions in the unit disc ⋮ Schwarz lemma for solutions of the \(\alpha\)-harmonic equation
Cites Work
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- Weighted integrability of polyharmonic functions
- Differential operators for a scale of Poisson type kernels in the unit disc
- Some properties of a class of elliptic partial differential operators
- On the uniqueness theorem of Holmgren
- A representation theorem for standard weighted harmonic mappings with an integer exponent and its applications
- Exceptional sets for Poisson integrals of potentials on the unit sphere in \({\mathbb{C}}^ n\), \(p\leq l\)
- Generalized axially symmetric potentials with distributional boundary values
- Some results in \(H^ p\) theory for the Heisenberg group
- Several properties of \(\alpha \)-harmonic functions in the unit disk
- On a weighted harmonic Green function and a theorem of Littlewood
- Poisson integrals for standard weighted Laplacians in the unit disc
- On an inverse boundary value problem
- Calderón's inverse conductivity problem in the plane
- Lipschitz continuity of \(\alpha\)-harmonic functions
- The Dirichlet problem for standard weighted Laplacians in the upper half plane
- A partial differential equation arising in conformal mapping
- H^p-theory for generalized M-harmonic functions in the unit ball
- Lipschitz continuity for weighted harmonic functions in the unit disc
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