Acta Mathematica Vietnamica
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Rhaly Operators on Small Weighted Hardy Spaces
Tan Pin Lin , Minh Luan Doan , Le Hai Khoipp. 739-759
Abstract
We study several properties of Rhaly operators on small weighted Hardy spaces of holomorphic functions in the unit disc $\mathbb D$. In particular, we obtain criteria for boundedness, compactness, Hilbert-Schmidt norm, and $p$-Schatten class membership of such operators. A closedness of Rhaly operator is also studied.