@article{39db723583094cb29806b17d3640e00c,
title = "Variable Exponent Lebesgue Spaces and Hardy-Littlewood Maximal Function on p-Adic Numbers",
abstract = "In this paper we introduce variable exponent Lebesgue spaces where the underlying space is the field of the p-adic numbers. We prove many properties of the spaces and also study the boundedness of the maximal operator as well as its application to convolution operators.",
keywords = "Hardy-Littlewood maximal over Q, p-adic analysis, variable exponent function spaces",
author = "Chac{\'o}n-Cort{\'e}s, {Leonardo Fabio} and Humberto Rafeiro",
note = "Publisher Copyright: {\textcopyright} 2020, Pleiades Publishing, Ltd.",
year = "2020",
month = apr,
day = "1",
doi = "10.1134/S2070046620020028",
language = "English",
volume = "12",
pages = "90--111",
journal = "P-Adic Numbers, Ultrametric Analysis, and Applications",
issn = "2070-0466",
publisher = "Pleiades Publishing",
number = "2",
}