On weighted Hardy spaces on the unit disk

Evgeny A. Poletsky; Khim R. Shrestha

Banach Center Publications (2015)

  • Volume: 107, Issue: 1, page 195-204
  • ISSN: 0137-6934

Abstract

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In this paper we completely characterize those weighted Hardy spaces that are Poletsky-Stessin Hardy spaces H u p . We also provide a reduction of H problems to H u p problems and demonstrate how such a reduction can be used to make shortcuts in the proofs of the interpolation theorem and corona problem.

How to cite

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Evgeny A. Poletsky, and Khim R. Shrestha. "On weighted Hardy spaces on the unit disk." Banach Center Publications 107.1 (2015): 195-204. <http://eudml.org/doc/281898>.

@article{EvgenyA2015,
abstract = {In this paper we completely characterize those weighted Hardy spaces that are Poletsky-Stessin Hardy spaces $H^p_u$. We also provide a reduction of $H^∞$ problems to $H^p_u$ problems and demonstrate how such a reduction can be used to make shortcuts in the proofs of the interpolation theorem and corona problem.},
author = {Evgeny A. Poletsky, Khim R. Shrestha},
journal = {Banach Center Publications},
language = {eng},
number = {1},
pages = {195-204},
title = {On weighted Hardy spaces on the unit disk},
url = {http://eudml.org/doc/281898},
volume = {107},
year = {2015},
}

TY - JOUR
AU - Evgeny A. Poletsky
AU - Khim R. Shrestha
TI - On weighted Hardy spaces on the unit disk
JO - Banach Center Publications
PY - 2015
VL - 107
IS - 1
SP - 195
EP - 204
AB - In this paper we completely characterize those weighted Hardy spaces that are Poletsky-Stessin Hardy spaces $H^p_u$. We also provide a reduction of $H^∞$ problems to $H^p_u$ problems and demonstrate how such a reduction can be used to make shortcuts in the proofs of the interpolation theorem and corona problem.
LA - eng
UR - http://eudml.org/doc/281898
ER -

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