Maximal Operator in Variable Exponent Lebesgue Spaces on Unbounded Quasimetric Measure Spaces

Authors

  • Tomasz Adamowicz
  • Petteri Harjulehto
  • Peter Hästö

DOI:

https://doi.org/10.7146/math.scand.a-20448

Abstract

We study the Hardy-Littlewood maximal operator M on Lp()(X) when X is an unbounded (quasi)metric measure space, and p may be unbounded. We consider both the doubling and general measure case, and use two versions of the log-Hölder condition. As a special case we obtain the criterion for a boundedness of M on Lp()(Rn,μ) for arbitrary, possibly non-doubling, Radon measures.

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Published

2015-03-04

How to Cite

Adamowicz, T., Harjulehto, P., & Hästö, P. (2015). Maximal Operator in Variable Exponent Lebesgue Spaces on Unbounded Quasimetric Measure Spaces. MATHEMATICA SCANDINAVICA, 116(1), 5–22. https://doi.org/10.7146/math.scand.a-20448

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Articles