Sub-Hardy Hilbert spaces on the circle and torus

2013/10/24 by Ajay Kumar, Kumar, Ajay, Niteesh Sahni +3
Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #math.FA

paper · pdf · doi:10.48550/arxiv.1310.6619

8 pages

arxiv created 2013/10/24 · arxiv updated 2013/10/25

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 H^p, 1≤ p≤∞ on the circle and the torus.

Related

• Operator theoretic differences between Hardy and Dirichlet-type spaces
• Toeplitz and Hankel operators between distinct Hardy spaces
• A Variant of Yano's Extrapolation Theorem on Hardy Spaces
• Square function characterization of Hardy-type spaces
• Hardy Spaces over Half-strip Domains