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STRONG AND WEAK WEIGHTED NORM INEQUALITIES FOR THE GEOMETRIC FRACTIONAL MAXIMAL OPERATOR

Part of: Harmonic analysis in several variables

Published online by Cambridge University Press:  30 March 2012

SORINA BARZA  and
CONSTANTIN P. NICULESCU
SORINA BARZA*
Affiliation:
Department of Mathematics, Karlstad University, S-65188 Karlstad, Sweden (email: sorina.barza@kau.se)
CONSTANTIN P. NICULESCU
Affiliation:
Department of Mathematics, University of Craiova, Street A.I. Cuza 13, RO-200585 Craiova, Romania (email: cniculescu@centralucv.ro)
*
✉For correspondence; e-mail: sorina.barza@kau.se
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Abstract

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We characterise the strong- and weak-type boundedness of the geometric fractional maximal operator between weighted Lebesgue spaces in the case 0<p≤q<∞, generalising and improving some older results.

Keywords

geometrical maximal operatorweighted Lebesgue spacestrong-/weak-type inequality

MSC classification

Secondary: 42B25: Maximal functions, Littlewood-Paley theory
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 86 , Issue 2 , October 2012 , pp. 205 - 215
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2012

References

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