Weissler and Bernoulli type inequalities in Bergman spaces

DOI10.1007/s00013-023-01876-9zbMath1529.46016arXiv2302.05522OpenAlexW4384154928MaRDI QIDQ6165911

Anton D. Baranov, Diana M. Khammatova, Ramis Shavkyatovich Khasyanov, Il'giz R. Kayumov

Publication date: 2 August 2023

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2302.05522

zbMATH Keywords

Bergman spaceBernoulli inequalityWeissler inequality

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Perturbation theory of linear operators (47A55) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Representations of entire functions of one complex variable by series and integrals (30D10) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Cites Work

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• Logarithmic Sobolev inequalities and hypercontractive estimates on the circle
• Contractive inequalities for Hardy spaces
• Sharp inequalities for holomorphic functions
• Functionals with extrema at reproducing kernels
• Contractive inequalities for Bergman spaces and multiplicative Hankel forms

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