Equivalent norms of solutions to hyperbolic Poisson's equations

DOI10.1007/s12220-020-00581-1zbMath1477.31032OpenAlexW3118352569WikidataQ115601550 ScholiaQ115601550MaRDI QIDQ2050621

Seekeong Lee, Jiaolong Chen, Manzi Huang, Xian Tao Wang

Publication date: 31 August 2021

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-020-00581-1

zbMATH Keywords

Lipschitz-type continuityhyperbolic Poisson equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Harmonic, subharmonic, superharmonic functions on other spaces (31C05)

Related Items (2)

On Lipschitz continuity and smoothness up to the boundary of solutions of hyperbolic Poisson's equation ⋮ Hölder continuity of hyperbolic Poisson integral and hyperbolic Green integral

Cites Work

• Lipschitz conditions on the modulus of a harmonic function
• Characterization of the weighted Lipschitz function by the Garsia-type norm on the unit ball
• Weighted maximal functions and derivatives of invariant Poisson integrals of potentials
• Equivalent norms on Lipschitz-type spaces of holomorphic functions
• On K. M. Dyakonov's paper: ``Equivalent norms on Lipschitz-type spaces of holomorphic functions
• Complete \(\lambda \)-hypersurfaces of weighted volume-preserving mean curvature flow
• Strong Hardy-Littlewood theorems for analytic functions and mappings of finite distortion
• Holomorphic functions and quasiconformal mappings with smooth moduli
• Harmonic and Subharmonic Function Theory on the Hyperbolic Ball
• Harmonic functions on the real hyperbolic ball II Hardy-Sobolev and Lipschitz spaces
• The dirichlet problem for the bergman laplacian. I
• Harmonic functions on the real hyperbolic ball I: Boundary values and atomic decomposition of Hardy spaces
• Weighted Dirichlet spaces of harmonic functions on the real hyperbolic ball
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