@article{c29ba2811f1f4ee3ae4887dbdfaace36,
title = "Maximal Operator in Variable Stummel Spaces",
abstract = "We prove that variable exponent Morrey spaces are closely embedded between variable exponent Stummel spaces. We also study the boundedness of the maximal operator in variable exponent Stummel spaces as well as in vanishing variable exponent Stummel spaces.",
keywords = "Maximal operator, Muckenhoupt weights, Variable Morrey spaces, Variable Stummel spaces",
author = "Alexandre Almeida and Humberto Rafeiro",
note = "Funding Information: We are grateful to the anonymous referees for their careful reading and useful comments and suggestions. The research of A. Almeida was partially supported by the Center for Research and Development in Mathematics and Applications (CIDMA) through the Portuguese Foundation for Science and Technology (FCT-Funda{\c c}{\~a}o para a Ci{\^e}ncia e a Tecnologia), references UIDB/04106/2020 and UIDP/04106/2020. The research of H. Rafeiro was supported by a Start-up Grant of United Arab Emirates University, Al Ain, United Arab Emirates via Grant No. G00002994. Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.",
year = "2022",
month = jun,
doi = "10.1007/s00041-022-09940-8",
language = "English",
volume = "28",
journal = "Journal of Fourier Analysis and Applications",
issn = "1069-5869",
publisher = "Birkhause Boston",
number = "3",
}