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Commutators of multilinear Calderón--Zygmund operators with kernels of Dini's type on generalized weighted Morrey spaces and applications  
Yazarlar
Prof. Dr. Vagıf GULIYEV Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi, Türkiye
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
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı Positivity
Dergi ISSN 1385-1292
Dergi Grubu Q2
Makale Dili İngilizce
Basım Tarihi 02-2023
Cilt No 27
Sayı 1
Doi Numarası 10.1007/s11117-022-00963-5