Vector-Valued Weighted Sobolev Spaces with Variable Exponent

Yıl 2019, Cilt: 11, 123 - 131, 30.12.2019

İsmail Aydın

Öz

Our aim is to introduce the vector-valued weighted variable exponent Lebesgue spaces. We discuss two different type of H\"{o}lder inequalities in this spaces. We will also show that every elements of vector-valued weighted variable exponent Lebesgue spaces are locally integrable. Hence we can define vector-valued weighted variable exponent Sobolev spaces. Finally under some conditions we will investigate some basic properties of vector-valued weighted variable exponent Sobolev spaces.

Anahtar Kelimeler

Vector-valued weighted variable Sobolev spaces, Hölder inequality, Radon-Nikodym property

Kaynakça

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