Vector-Valued Weighted Sobolev Spaces with Variable Exponent

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Turkish Journal of Mathematics and Computer Science
Volume: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

View : 24 | Download : 9

Publication Date : 2019-12-30

Article Type : Conference Paper

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

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