On weighted Hardy spaces on the unit disk

Evgeny A. Poletsky; Khim R. Shrestha

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arXiv · 1503.00535

On weighted Hardy spaces on the unit disk

Evgeny A. Poletsky·Khim R. Shrestha

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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 $H^\infty$ 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.

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Evgeny A. Poletsky, Khim R. Shrestha. 2015-03-02. On weighted Hardy spaces on the unit disk. https://arxiv.org/abs/1503.00535

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