Aydın, İsmail2025-03-232025-03-2320192148-1830https://search.trdizin.gov.tr/tr/yayin/detay/350927https://hdl.handle.net/11486/4009Our aim is to introduce the vector-valued weighted variable exponent Lebesgue spaces. We discusstwo different type of Holder 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 weightedvariable exponent Sobolev spaces. Finally under some conditions we will investigate some basic properties ofvector-valued weighted variable exponent Sobolev spaces.eninfo:eu-repo/semantics/openAccessMatematikArticle11-123131350927