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

V. Borovitskiy

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

Functional Analysis 2017-07-31 v2 Classical Analysis and ODEs

Authors: V. Borovitskiy

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.

Keywords

weighted Hardy spaces two-dimensional torus K-closedness weighted Lebesgue spaces split weights nonsplit weights

Cite

@article{arxiv.1707.05239,
  title  = {K-closedness of weighted Hardy spaces on the two-dimensional torus},
  author = {V. Borovitskiy},
  journal= {arXiv preprint arXiv:1707.05239},
  year   = {2017}
}

Comments

in Russian

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