Weak-type inequalities and convergence of the ergodic averages in variable Lebesgue spaces with weights
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Published:2009-07-08
Issue:4
Volume:139
Page:673-683
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ISSN:0308-2105
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Container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
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language:en
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Short-container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
Author:
Cañestro M. Isabel Aguilar,Salvador Pedro Ortega
Abstract
We characterize the weighted weak-type inequalities with variable exponents for the maximal operator associated with an ergodic, invertible, measure-preserving transformation and prove the almost everywhere convergence of the ergodic averages for all functions in a variable Lebesgue space with a weight verifying a suitable condition.
Publisher
Cambridge University Press (CUP)
Subject
General Mathematics
Cited by
2 articles.
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