A REVERSE HÖLDER INEQUALITY IN L^p(x)(Ω)
Authors : Yasin Kaya
Pages : 32-36
Doi:10.23884/mejs.2020.6.1.04
View : 11 | Download : 6
Publication Date : 2020-06-29
Article Type : Research
Abstract :In this study, at first we provide a general overview of L^p(x)(Ω) spaces, also known as variable exponent Lebesgue spaces. They are a generalization of classical Lebesgue spaces L^p in the sense that constant exponent replaced by a measurable function . Then, based on classical Lebesgue space approach we prove a reverse of Hölder inequality in L^p(x)(Ω) . Therefore, our proof in variable exponent Lebesgue space is very similar to that in classical Lebesgue space.Keywords : Variable exponent Lebesgue space, measure, Radon–Nikodym derivative