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
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 |
| Makale Linki | https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.8303 | ||
| Özet |
| We study the fractional maximal commutators Mb,η$$ {M}_{b,\eta } $$ and the commutators [b,Mη]$$ \left[b,{M}_{\eta}\right] $$ of the fractional maximal operator with b∈BMO(X)$$ b\in BMO(X) $$ in the variable Lebesgue spaces Lp(·)(X)$$ {L}^{p\left(\cdotp \right)}(X) $$ over bounded quasi‐metric measure spaces. We give necessary and sufficient conditions for the boundedness of the operators Mb,η$$ {M}_{b,\eta } $$ and [b,Mη]$$ \left[b,{M}_{\eta}\right] $$ on the spaces Lp(·)(X)$$ {L}^{p\left(\cdotp \right)}(X) $$ when b∈BMO(X)$$ b\in BMO(X) $$. Furthermore, we obtain some new characterizations for certain subspaces of BMO(X)$$ BMO(X) $$. |
| Anahtar Kelimeler |
| BMO | commutators | fractional maximal function | quasi-metric measure spaces | variable Lebesgue spaces |
