Abstract
In this paper we investigate a boundedness of the Hardy-Littlewood maximal operator M in the variable Lebesgue spaces in the context locally compact abelian group. We show that the local Muckenhoupt condition implies the local boundedness of M.
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Communicated by E. K. Narayanan
This work was supported by Shota Rustaveli National Science Foundation of Georgia FR-22 17770.
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Kapanadze, E., Kopaliani, T. & Ozbetelashvili, A. Hardy–Littlewood maximal function on Locally compact Abelian groups. Indian J Pure Appl Math (2024). https://doi.org/10.1007/s13226-024-00560-0
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DOI: https://doi.org/10.1007/s13226-024-00560-0