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Weighted inequalities for the two-dimensional one-sided Hardy-Littlewood maximal function

descriptionPublicationkeyboard_double_arrow_right Article 01 Apr 2011 English Publisher:American Mathematical Society (AMS)Journal:Transactions of the American Mathematical Society, volume 363, pages 1,699-1,699 (issn: 0002-9947, Copyright policy )
Authors: Forzani, L.; Martín Reyes, Francisco J.; Ombrosi, Sheldy Javier;

doi: 10.1090/s0002-9947-2010-05343-7

handle: 20.500.14352/97533 , 11336/79566

Weighted inequalities for the two-dimensional one-sided Hardy-Littlewood maximal function

Abstract

In this work we characterize the pairs of weights (w, v) such that the one-sided Hardy-Littlewood maximal function in dimension two is of weak-type (p, p), 1 < p < oo, with respect to the pair (w, v). As an application of this result we obtain a generalization of the classic Dunford-Schwartz Ergodic Maximal Theorem for bi-parameter flows of null-preserving transformations.

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Keywords

Weights, 12 Matemáticas, Matemáticas (Matemáticas), Ergodic Maximal Theorem, One-Sided Maximal Function, https://purl.org/becyt/ford/1.1, https://purl.org/becyt/ford/1

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
20
Top 10%
Top 10%
Average
Green
bronze