Adjoint operator of Bergman projection and Besov space B₁

2014/06/27 by David Kalaj, Kalaj, David, Djordjije Vujadinović +2
Mathematics · #Algebraic and Geometric Analysis #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #math.CV

paper · pdf · doi:10.48550/arxiv.1406.7086

Published in Mathematical Reports, 2013

arxiv created 2014/06/27 · openalex publication_date 2014/06/27 · arxiv updated 2014/06/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The main result of this paper is related to finding two-sided bounds of norm for the adjoint operator P^∗ of the Bergman projection P, where P denotes the Bergman projection wich maps L¹(D,dλ(z)) onto the Besov space B₁. Here dλ(z) is the Möbius invariant measure (1-|z|²)^-2dA(z). It is shown that 2≤‖ P^∗‖≤ 4.

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