Research Article

A closed range integral operator on Hardy spaces

Published in: Quaestiones Mathematicae
Volume 48 , issue 9 : Entrepreneurship and Africa’s Cultural Context , 2024 , pages: 1355–1367

DOI: 10.2989/16073606.2025.2492814

Author(s): Fani Papageorgiou University of Crete, Greece,

Keywords: 47G10, 42B30, 47B35, Integral operators, closed range property, Hardy spaces,

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Abstract

If , then the integral operator is defined as , for and for all . In this paper, we prove necessary and sufficient conditions for the operator S_g to have closed range on H^p for the case 0 < p < 1.

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Research Article

A closed range integral operator on Hardy spaces

Abstract

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