Abstract
This note is devoted to the investigation of the Taylor coefficients f (n) of the function f, analytic in the open unit circleD and summable in it with the power p(p∈[1,∞)) with respect to the plane Lebesgue measure m2; we denote the collection of all these functions f by the symbol ℋp. One proves the following.
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Literature cited
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S. A. Vinogradov, J. Sov. Math.,16, No. 3 (1981).
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 65, pp. 161–163, 1976.
In conclusion, I wish to express my deepest gratitude to S. A. Vinogradov for his interest and guidance during the preparation of this paper.
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Andrianova, T.N. Taylor coefficients with sparse indices for functions summable with respect to the plane lebesgue measure. J Math Sci 16, 1159–1161 (1981). https://doi.org/10.1007/BF02427724
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DOI: https://doi.org/10.1007/BF02427724