ON NEMYTSKIJ OPERATORS IN LP-SPACES OF ABSTRACT FUNCTIONS

被引：47

作者：

GOLDBERG, H ^{[1
]}

KAMPOWSKY, W ^{[1
]}

TROLTZSCH, F ^{[1
]}

机构：

[1] UNIV GREIFSWALD,FACHBEREICH MATH,O-2200 GREIFSWALD,GERMANY

来源：

MATHEMATISCHE NACHRICHTEN | 1992年 / 155卷

关键词：

D O I：

10.1002/mana.19921550110

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with continuity and differentiability of NEMYTSKIJ operators acting between spaces of summable abstract functions. In a first part, necessary and sufficient conditions for continuity are collected. Then main emphasis is given to sufficient conditions for differentiability in the sense of FRECHET and GATEAUX. Finally, second order differentiability is briefly discussed.

引用

页码：127 / 140

页数：14

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