Composition operators between different weighted Besov spaces

Zamani, Ebrahim and Vaezi, Hamid

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creative_2017_26_1_105_114

DOI: https://doi.org/10.37193/CMI.2017.01.14

Issue no: Vol 26/2017 no. 1 Tags: Admissible Bekolle weight, Besov space and Counting function

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Let $D$ denote the open unit disc in the complex plane and let $dA$ be the normalized Lebesgue area measure on $D$ . The weighted Besov space $B_{p}(\sigma) (p>1)$ is the space of analytic functions $f$ on $D$ such that
$\int_{D}|f^{\prime}(z)|^{p}\sigma(z)dA(z)<\infty,$ where $\sigma$ is a weight function on $D$ .