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arXiv · 1406.7086

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

David Kalaj·Djordjije Vujadinovic
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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 $2\leq\| P^{\ast}\|\leq 4.$

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David Kalaj, Djordjije Vujadinovic. 2014-06-27. Adjoint operator of Bergman projection and Besov space $ B_{1}. https://arxiv.org/abs/1406.7086

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