A REVERSE HÖLDER INEQUALITY IN L^p(x)(Ω)

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,

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ISSN: 2618-6136
Yayın Aralığı: Yılda 2 Sayı
Başlangıç: 2015
Yayıncı: INESEG Yayıncılık

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