Interpolation Theorem for Discrete Net Spaces

被引：0

作者：

Kalidolday, Aitolkyn H. ^{[1
]}

Nursultanov, Erlan D. ^{[1
,2
]}

机构：

[1] Inst Math & Math Modeling, Alma Ata, Kazakhstan

[2] Moscow MV Lomonosov State Univ, Dept Mech & Math, Kazakhstan Branch, Astana, Kazakhstan

来源：

EXTENDED ABSTRACTS MWCAPDE 2023 | 2024年 / 1卷

关键词：

HARDY-LITTLEWOOD; EMBEDDING-THEOREMS; FOURIER-SERIES; INEQUALITIES; MULTIPLIERS;

D O I：

10.1007/978-3-031-41665-1_8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the interpolation properties of the net spaces n(p,q)(M), when M is the set of all segments from Z. It is shown that in this case, the scale of spaces is closed with respect to the real interpolation method. As a corollary, an interpolation theorem of Marcinkevich type is presented.

引用

页码：71 / 78

页数：8

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