Sharp pointwise estimate of \(\alpha\)-harmonic functions

DOI10.1007/S11785-024-01578-2zbMATH Open1548.31009MaRDI QIDQ6589480

David Kalaj

Publication date: 19 August 2024

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

Kolmogorov inequalityRiesz inequality\(\alpha\)-harmonic functions in the unit disk

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Hardy spaces (30H10)

Cites Work

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• Optimal estimates for the gradient of harmonic functions in the unit disk
• Differential operators for a scale of Poisson type kernels in the unit disc
• Some properties of a class of elliptic partial differential operators
• Sharp pointwise estimates for directional derivatives of harmonic functions in a multidimensional ball
• A Schwarz lemma for harmonic and hyperbolic-harmonic functions in higher dimensions
• Optimal estimates for harmonic functions in the unit ball
• A proof of the Khavinson conjecture
• A Khavinson type conjecture for hyperbolic harmonic functions on the unit ball
• A proof of the Khavinson conjecture in \(\mathbb{R}^3\)
• An Extremal Problem for Harmonic Functions in the Ball
• H^p-theory for generalized M-harmonic functions in the unit ball
• A Schwarz lemma for hyperbolic harmonic mappings in the unit ball
• On harmonic functions and the Schwarz lemma
• Khavinson problem for hyperbolic harmonic mappings in Hardy space

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