ON THE SINGULAR NUMBERS OF CERTAIN VOLTERRA INTEGRAL-OPERATORS

被引：18
|
作者：
EDMUNDS, DE [1 ]
STEPANOV, VD [1 ]
机构：
[1] RUSSIAN ACAD SCI,CTR COMP,KHABAROVSK 680042,RUSSIA
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 1995年 / 134卷 / 01期
关键词：
D O I：
10.1006/jfan.1995.1143
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A criterion for a certain class of integral operators to belong to Schatten-von Neumann synmetric normed ideals is given. In particular, when 2 less than or equal to p < infinity, it is shown that the Schatten p-norm of such an operator can be estimated by constant multiples of an integral expression which is a natural extension of the well-known formula for the Hilbert-Schmidt norm. (C) 1995 Academic Press, Inc.
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页码：222 / 246
页数：25
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