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Commutators of fractional maximal operator in variable Lebesgue spaces over bounded quasi-metric measure spaces   
Yazarlar
Prof. Dr. Vagıf GULIYEV Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi, Türkiye
Stefan G. Samko
Universidade do Algarve, Portugal
Özet
We study the fractional maximal commutators (Formula presented.) and the commutators (Formula presented.) of the fractional maximal operator with (Formula presented.) in the variable Lebesgue spaces (Formula presented.) over bounded quasi-metric measure spaces. We give necessary and sufficient conditions for the boundedness of the operators (Formula presented.) and (Formula presented.) on the spaces (Formula presented.) when (Formula presented.). Furthermore, we obtain some new characterizations for certain subspaces of (Formula presented.).
Anahtar Kelimeler
BMO | commutators | fractional maximal function | quasi-metric measure spaces | variable Lebesgue spaces
Makale Türü Özgün Makale
Makale Alt Türü SCOPUS dergilerinde yayımlanan tam makale
Dergi Adı Mathematical Methods in the Applied Sciences
Dergi ISSN 0170-4214
Makale Dili İngilizce
Basım Tarihi 01-2022
Cilt No 45
Sayı 1
Sayfalar 9266 / 9279
Doi Numarası 10.1002/mma.8303