The calculation of the sum of the spaces of theK-method of real interpolation

被引：4

作者：

Berezhnoi, Evgenii, I ^{[1
]}

机构：

[1] Yaroslavl State Univ, Fac Math, Sovetskaya 14, Yaroslavl 150003, Russia

来源：

MATHEMATISCHE NACHRICHTEN | 2021年 / 294卷 / 01期

基金：

俄罗斯基础研究基金会;

关键词：

Banach ideal spaces; extrapolation theorems; K-Peetre interpolation method; spaces of the real method; sublinear operators; sum of spaces; EXTRAPOLATION THEORY; GRAND;

D O I：

10.1002/mana.201900237

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is shown that the calculation of the sum of the spaces of theK-Peetre interpolation method can be reduced to the calculation of the sum of the cones of the concave functions included by the parameter in the definition of the spaces of theK-Peetre interpolation method. As an example, a new extrapolation theorem for operators in Lipschitz spaces is obtained.

引用

页码：6 / 14

页数：9

共 17 条

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