- Turkish Journal of Mathematics and Computer Science
- Vol: 11 Special Issue
- Vector-Valued Weighted Sobolev Spaces with Variable Exponent
Vector-Valued Weighted Sobolev Spaces with Variable Exponent
Authors : İsmail AYDIN
Pages : 123-131
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Publication Date : 2019-12-30
Article Type : Other
Abstract :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.Keywords : Vector-valued weighted variable Sobolev spaces, Hölder inequality, Radon-Nikodym property