Hausdorff operators on some classical spaces of analytic functions
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DOI: 10.4153/s0008439524000158
Abstract: Abstract In this note, we start on the study of the sufficient conditions for the boundedness of Hausdorff operators $$ \begin{align*}(\mathcal{H}_{K,\mu}f)(z):=\int_{\mathbb{D}}K(w)f(\sigma_w(z))d\mu(w)\end{align*} $$ on three important function spaces (i.e., derivative Hardy spaces, weighted Dirichlet spaces, and… read more here.
Keywords: mathbb; classical spaces; spaces analytic; hausdorff operators ... See more keywords