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.

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Vaezi, Hamid, Zamani, Ebrahim