Functionals with extrema at reproducing kernels

DOI10.1007/s00039-022-00608-5zbMath1502.30151arXiv2203.12349OpenAlexW4285091735WikidataQ114231700 ScholiaQ114231700MaRDI QIDQ2166789

Aleksei Kulikov

Publication date: 25 August 2022

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.12349

zbMATH Keywords

reproducing kernelsminimization of functionals on Hardy and Bergman spaces

Mathematics Subject Classification ID

Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Hardy spaces (30H10) Bergman spaces and Fock spaces (30H20)

Related Items (9)

The norm of time-frequency and wavelet localization operators ⋮ Contraction property of certain classes of log-\(\mathcal{M}\)-subharmonic functions in the unit ball ⋮ A Faber–Krahn inequality for Wavelet transforms ⋮ Contractive inequalities between Dirichlet and Hardy spaces ⋮ Sharp inequalities for holomorphic function spaces ⋮ Sharp inequalities for coherent states and their optimizers ⋮ Weissler and Bernoulli type inequalities in Bergman spaces ⋮ Hypercontractive inequalities for weighted Bergman spaces ⋮ Stability of the Faber-Krahn inequality for the short-time Fourier transform

Cites Work

• A simple proof of an isoperimetric inequality for Euclidean and hyperbolic cone-surfaces
• Contractive inequalities for Hardy spaces
• Sharp inequalities for holomorphic functions
• Wehrl-type coherent state entropy inequalities for \(\mathrm{SU}(1,1)\) and its \(AX+B\) subgroup
• An inequality of Hardy-Littlewood type for Dirichlet polynomials
• Über die isoperimetrische Aufgabe im \(n\)-dimensionalen Raum konstanter negativer Krümmung. I: Die isoperimetrische \(n\) Ungleichungen in der hyperbolischen Ebene und für Rotationskörper im \(n\)-dimensionalen hyperbolischen Raum
• Hankel forms and sums of random variables
• The isoperimetric inequality
• Pseudomoments of the Riemann zeta function
• A contractive Hardy–Littlewood inequality
• Function classes on the unit disc. An introduction

This page was built for publication: Functionals with extrema at reproducing kernels