WEIGHTED ESTIMATES OF MULTIDIMENSIONAL SINGULAR-INTEGRALS GENERATED BY THE GENERALIZED SHIFT OPERATOR

Authors
ALIEV IA GADZHIEV AD
Citation
Ia. Aliev et Ad. Gadzhiev, WEIGHTED ESTIMATES OF MULTIDIMENSIONAL SINGULAR-INTEGRALS GENERATED BY THE GENERALIZED SHIFT OPERATOR, Sbornik. Mathematics, 77(1), 1994, pp. 37-55
Citations number
9
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Sbornik. Mathematics → ACNP
ISSN journal
10645616
Volume
77
Issue
1
Year of publication
1994
Pages
37 - 55
Database
ISI
SICI code
1064-5616(1994)77:1<37:WEOMSG>2.0.ZU;2-#
Abstract
Sufficient conditions on weights are found that ensure that a multidim ensional singular integral operator generated by the generalized shift operator acts boundedly from one weighted L(p)-space into another. It is shown that in some cases the conditions are sharp.