ON THE SINGULAR NUMBERS OF CERTAIN VOLTERRA INTEGRAL-OPERATORS

被引：19

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.

引用

页码：222 / 246

页数：25

共 14 条

[1]

Birman M. Sh., 1977, RUSS MATH SURV, V32, P15, DOI 10.1070/RM1977v032n01ABEH001592

[2] THE MEASURE OF NONCOMPACTNESS AND APPROXIMATION NUMBERS OF CERTAIN VOLTERRA INTEGRAL-OPERATORS [J].