Averaging of Fourier-Haar coefficients

Authors
Montgomery-Smith, S Semenov, EM
Citation
S. Montgomery-smith et Em. Semenov, Averaging of Fourier-Haar coefficients, SB MATH, 190(9-10), 1999, pp. 1449-1463
Citations number
12
Categorie Soggetti
Mathematics
Journal title
SBORNIK MATHEMATICS
ISSN journal
10645616 → ACNP
Volume
190
Issue
9-10
Year of publication
1999
Pages
1449 - 1463
Database
ISI
SICI code
1064-5616(199909/10)190:9-10<1449:AOFC>2.0.ZU;2-N
Abstract
An operator defined by averaging of the Fourier-Haar coefficients of a func tion is studied. A criterion for the boundedness of such an operator acting in a pair of rearrangement-invariant spaces is derived.