Calderón-Zygmund operators with kernels of Dini’s type on generalized weighted variable exponent Morrey spaces
    
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 Türkçe Basım Tarihi 06-2021
Cilt / Sayı / Sayfa 25 / 5 / 1771–1788 DOI 10.1007/s11117-021-00846-1
Makale Linki http://dx.doi.org/10.1007/s11117-021-00846-1
Özet
Let T be a Calderón-Zygmund operator of type ω with ω(t) being nondecreasing and satisfying a kind of Dini’s type condition and let Tb→ be the multilinear commutators of T with BMOm functions. In this paper, we study the boundedness of the operators T and Tb→ on generalized weighted variable exponent Morrey spaces Mp(·),φ(w) with the weight function w belonging to variable Muckenhoupt’s class Ap(·)(Rn). We find the sufficient conditions on the pair (φ1, φ2) with b→ ∈ BMOm(Rn) which ensures the boundedness of the operators T and Tb→ from Mp(·),φ1(w) to Mp(·),φ2(w).
Anahtar Kelimeler
BMO | Calderón-Zygmund operator | Commutator | Generalized weighted variable exponent Morrey spaces