Norm inequalities relating one-sided singular integrals and the one-sided maximal function

Citation
Ms. Riveros et A. De La Torre, Norm inequalities relating one-sided singular integrals and the one-sided maximal function, J AUS MAT A, 69, 2000, pp. 403-414
Citations number
6
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS
ISSN journal
02636115 → ACNP
Volume
69
Year of publication
2000
Part
3
Pages
403 - 414
Database
ISI
SICI code
0263-6115(200012)69:<403:NIROSI>2.0.ZU;2-4
Abstract
In this paper we prove that if a weight omega satisfies the C-q(+) conditio n, then the L-P(omega) norm of a one-sided singular integral is bounded by the L-P(omega) norm of the one-sided Hardy-Littlewood maximal function, for 1 < p < q < infinity.