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arXiv · 1310.6619

Sub-Hardy Hilbert spaces on the circle and torus

Ajay Kumar·Niteesh Sahni·Dinesh Singh
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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 $H^2(T)$. In this paper, we extend the main result of Sahni and Singh to the setting of the Banach spaces $H^p$, $1\le p\le\infty$ on the circle and the torus.

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Ajay Kumar, Niteesh Sahni, Dinesh Singh. 2013-10-24. Sub-Hardy Hilbert spaces on the circle and torus. https://arxiv.org/abs/1310.6619

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