English

Sub-Hardy Hilbert spaces on the circle and torus

Functional Analysis 2013-10-25 v1

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)H^2(T). In this paper, we extend the main result of Sahni and Singh to the setting of the Banach spaces HpH^p, 1p1\le p\le\infty on the circle and the torus.

Cite

@article{arxiv.1310.6619,
  title  = {Sub-Hardy Hilbert spaces on the circle and torus},
  author = {Ajay Kumar and Niteesh Sahni and Dinesh Singh},
  journal= {arXiv preprint arXiv:1310.6619},
  year   = {2013}
}

Comments

8 pages

R2 v1 2026-06-22T01:53:27.312Z