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

Norm inequalities relating one-sided singular integrals and the one-sided maximal function AbstractIn this paper we prove that if a weight w satisfies the condition, then the Lp(w) norm of a one-sided singular integral is bounded by the Lp(w) norm of the one-sided Hardy-Littlewood maximal function, for 1 < p < q < ∞. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics Cambridge University Press

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

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References (11)

Publisher
Cambridge University Press
Copyright
Copyright © Australian Mathematical Society 2000
ISSN
0263-6115
DOI
10.1017/S1446788700002524
Publisher site
See Article on Publisher Site

Abstract

AbstractIn this paper we prove that if a weight w satisfies the condition, then the Lp(w) norm of a one-sided singular integral is bounded by the Lp(w) norm of the one-sided Hardy-Littlewood maximal function, for 1 < p < q < ∞.

Journal

Journal of the Australian Mathematical Society. Series A. Pure Mathematics and StatisticsCambridge University Press

Published: Apr 9, 2009

Keywords: primary 42B25; 42A50; One-sided weights; one-sided singular integrals

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