RIESZ TRANSFORMS ASSOCIATED WITH SCHRODINGER OPERATOR ON VANISHING GENERALIZED MORREY SPACES

Autor: Guliyev, V. S., Guliyev, R. V., Omarova, M. N.
Přispěvatelé: Kırşehir Ahi Evran Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Popis: WOS: 000429377600006
In this paper, we study the boundedness of the dual Riesz transform R* and their commutators [b, R*] on generalized Morrey spaces M-p,phi(alpha,V) associated with Schrodinger operator and vanishing generalized Morrey spaces V M-p,phi(alpha,V) associated with Schrodinger operator. We find the sufficient conditions on the pair (phi(1) , phi(2)) which ensures the boundedness of the operator R* from one vanishing generalized Morrey space V M-p,phi 1(alpha,V) to another V M-p,phi 2(alpha,V).
Ministry of Education and Science of the Russian FederationMinistry of Education and Science, Russian Federation [02.a03.21.0008]; Presidium of Azerbaijan National Academy of ScienceAzerbaijan National Academy of Sciences (ANAS)
The research of V.S. Guliyev was partially supported by the Ministry of Education and Science of the Russian Federation (the Agreement number No. 02.a03.21.0008). The research of V.S. Guliyev and M. Omarova was partially supported by the grant of Presidium of Azerbaijan National Academy of Science 2015.
Databáze: OpenAIRE