二维环面上加权Hardy空间的K-闭性
K-closedness of weighted Hardy spaces on the two-dimensional torus
摘要：
证明了在一定的权限制下，二维环面上的一对加权Hardy空间在相应的加权Lebesgue空间对中是K-闭的.到目前为止，二维环面上的Hardy空间的K-闭性被认为是在没有权的情况下或在权分裂为两个单变量函数的乘积的情况下（所谓的“分裂权”）。在这里的情况下，某些不可分割的权重进行了研究。
英文摘要：
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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