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Acta Mathematica Vietnamica

Rhaly Operators on Small Weighted Hardy Spaces

Tan Pin Lin , Minh Luan Doan , icon-email Le Hai Khoi

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.