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- W4291992636 abstract "Let $v(r)=expleft(-frac{alpha}{1-r}right)$ with $alpha>0$, and let $mathbb{D}$ be the unit disc in the complex plane. Denote by $A^p_v$ the subspace of analytic functions of $L^p(mathbb{D},v)$ and let $P_v$ be the orthogonal projection from $L^2(mathbb{D},v)$ onto $A^2_v$. In 2004, Dostanic revealed the intriguing fact that $P_v$ is bounded from $L^p(mathbb{D},v)$ to $A^p_v$ only for $p=2$, and he posed the related problem of identifying the duals of $A^p_v$ for $pge 1$, $pneq 2$. In this paper we propose a solution to this problem by proving that $P_v$ is bounded from $,L^p(D,v^{p/2})$ to $A^p_{v^{p/2}}$ whenever $1le p <infty$, and, consequently, the dual of $A^p_{v^{p/2}}$ for $pge 1$ can be identified with $A^{q}_{v^{q/2}}$, where $1/p+1/q=1$. In addition, we also address a similar question on some classes of weighted Fock spaces." @default.
- W4291992636 created "2022-08-16" @default.
- W4291992636 creator A5058972153 @default.
- W4291992636 creator A5083223266 @default.
- W4291992636 date "2013-09-24" @default.
- W4291992636 modified "2023-09-26" @default.
- W4291992636 title "Boundedness of the Bergman projection on $L^p$ spaces with exponential weights" @default.
- W4291992636 doi "https://doi.org/10.48550/arxiv.1309.6071" @default.
- W4291992636 hasPublicationYear "2013" @default.
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