Optimal estimates for harmonic functions in the unit ball

DOI10.1007/S11117-011-0145-5zbMath1255.31003arXiv1102.3995OpenAlexW2002003450MaRDI QIDQ1928256

Marijan Marković, David Kalaj

Publication date: 2 January 2013

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.3995

zbMATH Keywords

Hardy spacesharmonic functionsball in \(\mathbb R^n\)

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) (H^p)-spaces (42B30)

Related Items (4)

Optimal estimates for hyperbolic Poisson integrals of functions in \(L^p\) with \(p > 1\) and radial eigenfunctions of the hyperbolic Laplacian ⋮ Optimal pointwise stimates for derivatives of solutions to Laplace, Lamé, and Stokes equations ⋮ Schwarz lemma for harmonic mappings in the unit ball ⋮ A proof of the Khavinson conjecture in \(\mathbb{R}^3\)

Cites Work

• Sharp pointwise estimates for directional derivatives of harmonic functions in a multidimensional ball
• Extremum problems in the theory of analytic functions
• An Extremal Problem for Harmonic Functions in the Ball
• On harmonic functions and the Schwarz lemma
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