TY - JOUR
T1 - Variable Exponent Lebesgue Spaces and Hardy-Littlewood Maximal Function on p-Adic Numbers
AU - Chacón-Cortés, Leonardo Fabio
AU - Rafeiro, Humberto
N1 - Funding Information:
L.F. Chacen-Cortms was partially supported by the research project Lebesgue spaces with variable exponents on the p-adic numbers, ID-PPTA: 00008231 of the Faculty of Sciences of the Pontificia Universidad Javeriana, Bogotc; Colombia. H. Rafeiro was supported by a Research Start-up Grant of United Arab Emirates University via Grant No. G00002994.
Publisher Copyright:
© 2020, Pleiades Publishing, Ltd.
PY - 2020/4/1
Y1 - 2020/4/1
N2 - 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.
AB - 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.
KW - Hardy-Littlewood maximal over Q
KW - p-adic analysis
KW - variable exponent function spaces
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U2 - 10.1134/S2070046620020028
DO - 10.1134/S2070046620020028
M3 - Article
AN - SCOPUS:85084516623
VL - 12
SP - 90
EP - 111
JO - P-Adic Numbers, Ultrametric Analysis, and Applications
JF - P-Adic Numbers, Ultrametric Analysis, and Applications
SN - 2070-0466
IS - 2
ER -