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Counting functions of zeros of analytic functions in spaces with mixed norm

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We study the behavior of counting functions of zeros of analytic in a disk functions in spaces with mixed norm, in particular, the Bergman-Dzhrbashyan spaces with standard weights. We obtain corollaries that strengthen the known results on zero sets of spaces with mixed norm.

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Correspondence to A. A. Dolgoborodov.

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Original Russian Text © A.A. Dolgoborodov, 2012, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, No. 10, pp. 20–31.

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Dolgoborodov, A.A. Counting functions of zeros of analytic functions in spaces with mixed norm. Russ Math. 56, 15–25 (2012). https://doi.org/10.3103/S1066369X12100027

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  • DOI: https://doi.org/10.3103/S1066369X12100027

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