Work

Hypercontractive inequalities for weighted Bergman spaces

Year: 2023

Type: article

Abstract: We obtain sharp hypercontractive inequalities for the weighted Bergman spaces on the unit disk with the usual weights for , thus solving an interesting case of a problem from Janson [Ark. Math. 21 (1983), no. 1, 97–110]. We also give some estimates for .

Source: Bulletin of the London Mathematical Society

DOI: 10.1112/blms.12883

Author: Petar Melentijević

Institution: University of Belgrade

Language: English

Topic: Holomorphic and Operator Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funder: Ministarstvo Prosvete, Nauke i Tehnološkog Razvoja

Award: G1841404451