Hausdorff Operator on Hardy Spaces

Authors

Kalaivani Kamalakkannan
Department of Mathematics, Vellore Institute of Technology, Vellore, India

Synopsis

This paper is concerned with the characterization of the boundedness of the generalized Hausdorff operator on weighted spaces of integrable functions. As corollaries, the description of the generalized Hausdorff operator on L1 (w) is presented for different cases of w. Finally, we concluded with the range of the operator.

ICAMCS 2022
Published
October 10, 2022