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.
|Number of pages||22|
|Journal||P-Adic Numbers, Ultrametric Analysis, and Applications|
|Publication status||Published - Apr 1 2020|
- Hardy-Littlewood maximal over Q
- p-adic analysis
- variable exponent function spaces
ASJC Scopus subject areas