Rearrangement Invariant Optimal Domain for Monotone Kernel Operators

被引：0

作者：

Delgado, Olvido ^{[1
]}

机构：

[1] Univ Politecn Valencia, Inst Univ Matemat Pura & Aplicada, E-46071 Valencia, Spain

来源：

VECTOR MEASURES, INTEGRATION AND RELATED TOPICS | 2010年 / 201卷

关键词：

Optimal domain; kernel operator; rearrangement invariant space; vector measure; CONVOLUTION-OPERATORS; INEQUALITY;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a kernel operator T with values in a Banach function space X, we give monotonicity conditions on the kernel which allow us to describe the rearrangement invariant optimal domain for T (still with values in X). We also study the relation between this optimal domain and the space of integrable functions with respect to the X-valued measure canonically associated to T.

引用

页码：149 / 158

页数：10

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