Sub-Hardy Hilbert spaces on the circle and torus

Abstract

Sahni and Singh settled a problem posed by Yousefi & Hesameddini by generalizing their main result with a simple proof in the setting of sub-Hilbert spaces in H2(T). In this paper, we extend the main result of Sahni and Singh to the setting of the Banach spaces Hp, 1 p∞ on the circle and the torus.

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