WEIGHTED VARIABLE EXPONENT LEBESGUE SPACES ON A PROBABILITY SPACE
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Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Editura Bibliotheca-Bibliotheca Publ House
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In 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.
Açıklama
Anahtar Kelimeler
weighted variable, Lebesque spaces, expectation operator, H & ouml, lder inequality, probability spaces
Kaynak
Journal of Science and Arts
WoS Q Değeri
N/A
Scopus Q Değeri
N/A
Cilt
Sayı
4
