WEIGHTED VARIABLE EXPONENT LEBESGUE SPACES ON A PROBABILITY SPACE

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dc.contributor.authorAydin, Ismail
dc.contributor.authorAydin, Demet
dc.date.accessioned2025-03-23T19:25:44Z
dc.date.available2025-03-23T19:25:44Z
dc.date.issued2023
dc.departmentSinop Üniversitesi
dc.description.abstractIn this paper, we introduce the weighted variable exponent Lebesgue spaces defined on a probability space and give some information about the martingale theory of these spaces. We first prove several basic inequalities for expectation operators and obtain several norm convergence conditions for martingales in weighted variable exponent Lebesgue spaces. We discuss the H & ouml;lder inequality and embedding properties in these spaces. Finally, under some conditions we investigate Doob's maximal function.
dc.identifier.doi10.46939/J.Sci.Arts-23.4-a15
dc.identifier.endpage986
dc.identifier.issn1844-9581
dc.identifier.issn2068-3049
dc.identifier.issue4
dc.identifier.scopusqualityN/A
dc.identifier.startpage977
dc.identifier.urihttps://doi.org/10.46939/J.Sci.Arts-23.4-a15
dc.identifier.urihttps://hdl.handle.net/11486/4556
dc.identifier.wosWOS:001246896900015
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherEditura Bibliotheca-Bibliotheca Publ House
dc.relation.ispartofJournal of Science and Arts
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20250323
dc.subjectweighted variable
dc.subjectLebesque spaces
dc.subjectexpectation operator
dc.subjectH & ouml
dc.subjectlder inequality
dc.subjectprobability spaces
dc.titleWEIGHTED VARIABLE EXPONENT LEBESGUE SPACES ON A PROBABILITY SPACE
dc.typeArticle

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