Open AccessFractional Operators in -adic Variable Exponent Lebesgue Spaces and Application to -adic Derivative
Author(s) -
L. F. Chacón-Cortés,
Humberto Rafeiro
Publication year - 2021
Publication title -
journal of function spaces
Language(s) - English
Resource type - Journals
eISSN - 2314-8896
pISSN - 2314-8888
DOI - 10.1155/2021/3096701
Subject(s) - mathematics , lp space , exponent , uniqueness , lebesgue's number lemma , operator (biology) , variable (mathematics) , lebesgue integration , discrete mathematics , pure mathematics , mathematical analysis , riemann integral , operator theory , banach space , fourier integral operator , repressor , philosophy , linguistics , biochemistry , chemistry , transcription factor , gene
In this paper, we prove the boundedness of the fractional maximal and the fractional integral operator in the p -adic variable exponent Lebesgue spaces. As an application, we show the existence and uniqueness of the solution for a nonhomogeneous Cauchy problem in the p -adic variable exponent Lebesgue spaces.