Functional calculus on real interpolation spaces for generators of C0-groups

被引：3

作者：

Haase, Markus ^{[1
]}

Rozendaal, Jan ^{[1
]}

机构：

[1] Delft Inst Appl Math, Mekelweg 4, NL-2628 CD Delft, Netherlands

来源：

MATHEMATISCHE NACHRICHTEN | 2016年 / 289卷 / 2-3期

关键词：

Functional calculus; transference; operator group; Fourier multiplier; interpolation space; 42A45; 47A60; 42B35; 46B70; 47D03;

D O I：

10.1002/mana.201400317

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study functional calculus properties of C-0-groups on real interpolation spaces using transference principles. We obtain interpolation versions of the classical transference principle for bounded groups and of a recent transference principle for unbounded groups. Then we show that each group generator on a Banach space has a bounded -calculus on real interpolation spaces. Additional results are derived from this.

引用

页码：275 / 289

页数：15

共 47 条

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