Commutators of multilinear Calderón–Zygmund operators with kernels of Dini’s type on generalized weighted Morrey spaces and applications
    
Yazarlar (1)
Prof. Dr. Vagıf GULIYEV Baku State University, Azerbaycan
Makale Türü Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Positivity (Q2)
Dergi ISSN 1385-1292 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce Basım Tarihi 12-2022
Cilt / Sayı / Sayfa 27 / 1 / 1–29 DOI 10.1007/s11117-022-00963-5
Makale Linki http://dx.doi.org/10.1007/s11117-022-00963-5
Özet
Let T be a multilinear Calderón–Zygmund operator of type ω with ω being nondecreasing and satisfying a kind of Dini’s type condition and TΠb→ be the iterated commutators of the operator T with BMOm functions. The generalized weighted Morrey strong and weak L(log L) -type endpoint estimates for T and TΠb→ with multiple weights are established. As applications multiple weighted Morrey estimates for iterated commutators of bilinear pseudo-differential operators and paraproducts with mild regularity are given.
Anahtar Kelimeler
Bilinear pseudo-differential operator | BMO | Commutator | Generalized weighted Morrey spaces | Multilinear Calderón–Zygmund operator | Multiple weight | Paraproduct