What question did this study set out to answer?

The aim is to characterize sequences of complex numbers related to Rhaly operators and their behavior in certain function spaces.

Rhaly Operators Acting on Hardy, Bergman, and Dirichlet Spaces

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This article characterizes Rhaly operators on several mathematical spaces, suggesting specific conditions for boundedness and compactness.

The aim is to characterize sequences of complex numbers related to Rhaly operators and their behavior in certain function spaces.
Analyzing sequences of complex numbers associated with Rhaly operators.
Establishing conditions for boundedness and compactness of Rhaly operators.
Investigating mean Lipschitz spaces of analytic functions.
Conditions for the boundedness and compactness of Rhaly operators are identified.
Membership in mean Lipschitz spaces is linked to the boundedness of these operators.
The approach is applicable to Hardy, Bergman, and Dirichlet spaces.

Γαλανόπουλος et al. (2026) studied this question.

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This article characterizes Rhaly operators on several mathematical spaces, suggesting specific conditions for boundedness and compactness.