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 - 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
UR - http://www.scopus.com/inward/record.url?scp=85084516623&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85084516623&partnerID=8YFLogxK
U2 - 10.1134/S2070046620020028
DO - 10.1134/S2070046620020028
M3 - Article
AN - SCOPUS:85084516623
SN - 2070-0466
VL - 12
SP - 90
EP - 111
JO - P-Adic Numbers, Ultrametric Analysis, and Applications
JF - P-Adic Numbers, Ultrametric Analysis, and Applications
IS - 2
ER -