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

Part of: Harmonic analysis in one variable Harmonic analysis in several variables

Published online by Cambridge University Press:  09 April 2009

M. S. Riveros  and
A. de la Torre
M. S. Riveros
Affiliation:
FaMAF Universidad Nacional de Córdoba(5000) CórdobaArgentina e-mail: sriveros@mate.uncor.edu
A. de la Torre
Affiliation:
Análisis Matemático Facultad de Ciencias Universidad de Málaga(29071) MálagaSpain e-mail: torre@anamat.cie.uma.es
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Abstract

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In 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 < ∞.

Keywords

One-sided weightsone-sided singular integrals

MSC classification

Secondary: 42B25: Maximal functions, Littlewood-Paley theory 42A50: Conjugate functions, conjugate series, singular integrals
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 69 , Issue 3 , December 2000 , pp. 403 - 414
Copyright
Copyright © Australian Mathematical Society 2000

References

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