On a recent result on the intersection of weighted Hardy spaces (Q2778265)
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scientific article; zbMATH DE number 1719578
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a recent result on the intersection of weighted Hardy spaces |
scientific article; zbMATH DE number 1719578 |
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23 June 2002
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Toeplitz operators
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outer function
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Hardy spaces
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On a recent result on the intersection of weighted Hardy spaces (English)
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This note deals with a specific problem concerning weighted Hardy spaces on the unit circle and an announcement on that subject by \textit{K. S. Kazaryan} et al. [Dokl. Math., 55, No. 2, 260-262 (1997), translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 353, No. 6, 717-719 (1997; Zbl 1050.30506)]. NEWLINENEWLINENEWLINEThe author presents two counterexamples which show that Theorem 1 in that announcement and also a modified version of this theorem need additional assumptions in order to be true.
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