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arXiv · 1707.05239

K-closedness of weighted Hardy spaces on the two-dimensional torus

V. Borovitskiy
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Abstract

It is proved that, under certain restrictions on weights, a pair of weighted Hardy spaces on the two-dimensional torus is K-closed in the pair of the corresponding weighted Lebesgue spaces. By now, K-closedness of Hardy spaces on the two-dimensional torus was considered either in the case of no weights or in the case of weights that split into a product of two functions of one variable (the so-called "split weights"). Here the case of certain nonsplit weights is studied.

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V. Borovitskiy. 2017-07-17. K-closedness of weighted Hardy spaces on the two-dimensional torus. https://arxiv.org/abs/1707.05239

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