Interpolation theorem for Nikol'skii-Besov type spaceswith mixed metric

被引：3

作者：

Bekmaganbetov, K. A. ^{[1
]}

Kervenev, K. Ye. ^{[2
]}

Toleugazy, Ye. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Kazakhstan Branch, Nur Sultan, Kazakhstan

[2] EA Buketov Karaganda Univ, Karaganda, Kazakhstan

来源：

BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS | 2020年 / 100卷 / 04期

关键词：

Nikol'skii-Besov type spaces; method of anisotropic interpolation; complex interpolation; EMBEDDING-THEOREMS; LIZORKIN-TRIEBEL; ORDER; WIDTHS;

D O I：

10.31489/2020M4/33-42

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study the interpolation properties of Nikol'skii-Besov spaces with a dominant mixed derivative and mixed metric with respect to anisotropic and complex interpolation methods. An interpolation theorem is proved for a weighted discrete space of vector-valued sequences l(q)(alpha)(A). It is shown that the Nikol'skii-Besov space under study is a retract of the space l(q)(alpha)(L-p). Based on the above results, interpolation theorems were obtained for Nikol'skii-Besov spaces with the dominant mixed derivative and mixed metric.

引用

页码：33 / 42

页数：10

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