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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 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.