On a Scale of Banach Spaces of Analytic Functions on a Convex Domain

被引：0
作者：
K. P. Isaev [1 ]
R. S. Yulmukhametov [2 ]
机构：
[1] Ufa University of Science and Technology, Ufa
[2] Institute of Mathematics with Computing Centre—Subdivision of the Ufa Federal Research Center of the Russian Academy of Sciences, Ufa
来源：
Lobachevskii Journal of Mathematics | 2024年 / 45卷 / 6期
关键词：
analytic function; Fourier–Laplace transform; scale of Banach spaces;
D O I：
10.1134/S1995080224602868
中图分类号：
学科分类号：
摘要：
Abstract: The paper considers a family of Banach spaces of functions analytic in a bounded convex domain. In the first paragraph, a continuously parameterized family including the classical Smirnov and Bergman spaces is constructed. In the second section, based on this family, we construct a normal scale of Banach spaces, which also includes Smirnov and Bergman spaces. The authors suggest that the constructed scale will be an effective tool in the study of problems of approximation of analytical functions by exponentials. © Pleiades Publishing, Ltd. 2024.
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页码：2688 / 2697
页数：9
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