Hardy-Littlewood maximal operator on variable Lebesgue spaces with respect to a probability measure

DOI10.2989/16073606.2021.1882603zbMath1496.42025OpenAlexW3130514010MaRDI QIDQ5070501

Ebner Pineda, Unnamed Author, Luz Rodríguez, Wilfredo O. Urbina R.

Publication date: 12 April 2022

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2021.1882603

zbMATH Keywords

harmonic analysisRadon measurevariable Lebesgue spacesHardy-Littlewood maximal functions

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Probabilistic measure theory (60A10) Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures (28C05)

Cites Work

• Unnamed Item
• Variable Lebesgue spaces. Foundations and harmonic analysis
• Lebesgue and Sobolev spaces with variable exponents
• On the $L^p$ boundedness of the non-centered Gaussian Hardy-Littlewood maximal function
• A Remark on the Maximal Function for Measures in R n
• Maximal Operator in Variable Exponent Lebesgue Spaces on Unbounded Quasimetric Measure Spaces

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