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Functionals with extrema at reproducing kernels

Name: Functionals with extrema at reproducing kernels
Creator: Kulikov, Aleksei
Keywords: Mathematics - Functional Analysis, Mathematics - Complex Variables, FOS: Mathematics, Complex Variables (math.CV), 0101 mathematics, 01 natural sciences, Functional Analysis (math.FA)

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 12 Jul 2022Embargo end date: 01 Jan 2022 Norway English Publisher:Springer Science and Business Media LLCJournal:Geometric and Functional Analysis (issn: 1016-443X, eissn: 1420-8970,

Authors: Kulikov, Aleksei;

doi: 10.1007/s00039-022-00608-5 , 10.48550/arxiv.2203.12349

arXiv: http://arxiv.org/abs/2203.12349

handle: 11250/3139385

Functionals with extrema at reproducing kernels

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Abstract

AbstractWe show that certain monotone functionals on the Hardy spaces and convex functionals on the Bergman spaces are maximized at the normalized reproducing kernels among the functions of norm 1, thus proving the contractivity conjecture of Pavlović and of Brevig, Ortega-Cerdà, Seip and Zhao and the Wehrl-type entropy conjecture for the SU(1, 1) group of Lieb and Solovej, respectively.

Country

Norway

Related Organizations

Norwegian University of Science and Technology
Norway

Keywords

Mathematics - Functional Analysis, Mathematics - Complex Variables, FOS: Mathematics, Complex Variables (math.CV), Functional Analysis (math.FA)

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RCN| Combinatorial Methods in Analysis