On the behaviors of a class of singular type rough higher order commutators on generalized weighted morrey spaces

GÜRBÜZ, FERİT

On the behaviors of a class of singular type rough higher order commutators on generalized weighted morrey spaces

Turkish World Mathematical Society Journal of Applied and Engineering Mathematics, cilt.8, sa.1, ss.208-219, 2018 (Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 8 Sayı: 1
Basım Tarihi: 2018
Dergi Adı: Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
Derginin Tarandığı İndeksler: Scopus, TR DİZİN (ULAKBİM)
Sayfa Sayıları: ss.208-219
Hakkari Üniversitesi Adresli: Evet

Özet

In this paper, we study the boundedness of a class of singular type rough higher order commutators defined by where m ∈ N and Ω ∈ Ls(Sn-1) (s > 1) is a homogeneous function of degree 0 on Rn and satisfies the integral zero property over the unit sphere Sn-1 on generalized weighted Morrey spaces, respectively. As an application, we get the boundedness of these operators on weighted Morrey spaces, respectively. Keywords: Higher order (= m- th order) commutator operators, rough kernel, A p/s' weight, generalized weighted Morrey space.