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
收藏
页码：149 / 158
页数：10
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