In this paper we completely characterize those weighted Hardy spaces that are Poletsky-Stessin Hardy spaces . We also provide a reduction of problems to problems and demonstrate how such a reduction can be used to make shortcuts in the proofs of the interpolation theorem and corona problem.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc107-0-14, author = {Evgeny A. Poletsky and Khim R. Shrestha}, title = {On weighted Hardy spaces on the unit disk}, journal = {Banach Center Publications}, volume = {104}, year = {2015}, pages = {195-204}, zbl = {06556712}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc107-0-14} }
Evgeny A. Poletsky; Khim R. Shrestha. On weighted Hardy spaces on the unit disk. Banach Center Publications, Tome 104 (2015) pp. 195-204. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc107-0-14/