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.
Variable exponent Lebesgue space measure Radon–Nikodym derivative
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Makale |
Yazarlar | |
Yayımlanma Tarihi | 29 Haziran 2020 |
Gönderilme Tarihi | 18 Kasım 2019 |
Kabul Tarihi | 18 Haziran 2020 |
Yayımlandığı Sayı | Yıl 2020 Cilt: 6 Sayı: 1 |
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