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.

引用

页码：222 / 246

页数：25

共 50 条

[1] APPROXIMATION NUMBERS OF CERTAIN VOLTERRA INTEGRAL-OPERATORS
EDMUNDS, DE
EVANS, WD
HARRIS, DJ
[J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1988, 37 : 471 - 489
[2] ON SINGULAR NUMBERS OF A CERTAIN CLASS OF INTEGRAL-OPERATORS
STEPANOV, VD
[J]. DOKLADY AKADEMII NAUK, 1994, 336 (04) : 457 - 458
[3] THE MEASURE OF NONCOMPACTNESS AND APPROXIMATION NUMBERS OF CERTAIN VOLTERRA INTEGRAL-OPERATORS
EDMUNDS, DE
STEPANOV, VD
[J]. MATHEMATISCHE ANNALEN, 1994, 298 (01) : 41 - 66
[4] THE MEASURE OF NONCOMPACTNESS AND APPROXIMATION NUMBERS OF CERTAIN VOLTERRA INTEGRAL-OPERATORS
STEPANOV, VD
EDMUNDS, DE
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[J]. MATHEMATIKA, 1976, 23 (45) : 45 - 50
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[8] CERTAIN INTEGRAL-OPERATORS
OWA, S
[J]. PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 1991, 67 (03) : 88 - 93
[9] COMPOSITIONS OF SINGULAR INTEGRAL-OPERATORS
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[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 1982, 49 (01) : 91 - 127
[10] ALGEBRAS OF SINGULAR INTEGRAL-OPERATORS
MCINTOSH, A
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[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1985, 301 (08): : 395 - 397

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