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

David Kalaj; Djordjije Vujadinovic

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

Complex Variables 2014-06-30 v1

Authors: David Kalaj , Djordjije Vujadinovic

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 M\"obius invariant measure ${(1-|z|^2)^{-2}}{dA(z)}$ . It is shown that $2\leq\| P^{\ast}\|\leq 4.$

Keywords

Bergman projection adjoint operator Besov space operator norm bounds Möbius invariant measure

Cite

@article{arxiv.1406.7086,
  title  = {Adjoint operator of Bergman projection and Besov space $ B_{1}},
  author = {David Kalaj and Djordjije Vujadinovic},
  journal= {arXiv preprint arXiv:1406.7086},
  year   = {2014}
}

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Published in Mathematical Reports, 2013

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

Abstract

Keywords

Cite

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