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Weighted Lorentz Norm Inequalities for the One-Sided Hardy-Littlewood Maximal Functions and for the Maximal Ergodic Operator

Published online by Cambridge University Press:  20 November 2018

P. Ortega Salvador
P. Ortega Salvador*
Affiliation:
Análisis Matemático Facultad de Ciencias, Universidad de Málaga, 29071-Malaga, Spain
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Abstract

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In this paper we characterize weighted Lorentz norm inequalities for the one sided Hardy-Littlewood maximal function

Similar questions are discussed for the maximal operator associated to an invertible measure preserving transformation of a measure space.

Keywords

42B2528D05one-sided maximal functionsweighted inequalitiesLorentz spacesergodic averagesergodic maximal operatormeasure preserving transformationsnull-preserving transformationsweights
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 46 , Issue 5 , 01 October 1994 , pp. 1057 - 1072
Copyright
Copyright © Canadian Mathematical Society 1994

References

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