Commutators of fractional maximal operator in variable Lebesgue spaces over bounded quasi-metric measure spaces
   
Yazarlar (2)
Prof. Dr. Vagıf GULIYEV Baku State University, Azerbaycan
Stefan G. Samko
Universidade Do Algarve, Portekiz
Makale Türü Özgün Makale (SCOPUS dergilerinde yayınlanan tam makale)
Dergi Adı Mathematical Methods in the Applied Sciences
Dergi ISSN 0170-4214 Wos Dergi Scopus Dergi
Makale Dili İngilizce Basım Tarihi 01-2022
Cilt / Sayı / Sayfa 45 / 16 / 9266–9279 DOI 10.1002/mma.8303
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