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

Published online by Cambridge University Press:  09 April 2009

M. S. Riveros
Affiliation:
FaMAF Universidad Nacional de Córdoba(5000) CórdobaArgentina e-mail: [email protected]
A. de la Torre
Affiliation:
Análisis Matemático Facultad de Ciencias Universidad de Málaga(29071) MálagaSpain e-mail: [email protected]
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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 < ∞.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2000

References

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