Adjoint operator of Bergman projection and Besov space $ B_{1}

Abstract

The main result of this paper is related to finding two-sided bounds of norm for the adjoint operator $P^{\ast }$ of the Bergman projection $P,$ where $P$ denotes the Bergman projection wich maps $L^1(D,d\lambda (z))$ onto the Besov space $B_1.$ Here $d\lambda (z)$ is the Möbius invariant measure $(1-|z{|}^2{)}^{-2}dA(z)$. It is shown that $2\le \Vert P^{\ast }\Vert \le 4.$

Published in Mathematical Reports, 2013

References in corpus (1)

• Norm of the Bergman projection