Our aim in this paper is to deal with the boundedness of the central Hardy-Littlewood maximal operator on Herz spaces with radial variable exponent. As a special case, we show the boundedness of the maximal operator in weighted Lebesgue spaces with radial variable exponent. We also discuss the integrability of the maximal functions in such spaces.
"Boundedness of maximal operators on Herz spaces with radial variable exponent." Tohoku Math. J. (2) 72 (3) 335 - 348, 2020. https://doi.org/10.2748/tmj/1601085619