ON THE SINGULAR NUMBERS OF CERTAIN VOLTERRA INTEGRAL-OPERATORS

Authors
EDMUNDS DE STEPANOV VD
Citation
De. Edmunds et Vd. Stepanov, ON THE SINGULAR NUMBERS OF CERTAIN VOLTERRA INTEGRAL-OPERATORS, Journal of functional analysis, 134(1), 1995, pp. 222-246
Citations number
14
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Journal of functional analysis → ACNP
ISSN journal
00221236
Volume
134
Issue
1
Year of publication
1995
Pages
222 - 246
Database
ISI
SICI code
0022-1236(1995)134:1<222:OTSNOC>2.0.ZU;2-R
Abstract
A criterion for a certain class of integral operators to belong to Sch atten-von Neumann synmetric normed ideals is given. In particular, whe n 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 a n integral expression which is a natural extension of the well-known f ormula for the Hilbert-Schmidt norm. (C) 1995 Academic Press, Inc.