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HIGHER ORDER RIESZ TRANSFORMS RELATED TO SCHRODINGER TYPE OPERATOR ON LOCAL GENERALIZED MORREY SPACES     
Yazarlar
Prof. Dr. Vagıf GULIYEV
Kütahya Dumlupınar Üniversitesi, Türkiye
Prof. Dr. Ali AKBULUT
Kırşehir Ahi Evran Üniversitesi, Türkiye
Suleyman Celik
Mehriban N Omarova
Özet
In this paper, we study the boundedness of the higher order Riesz transforms R, R* and their commutators [b, R], [b, R*] on local generalized Morrey spaces LMp,phi alpha,V,{x0} and vanishing generalized Morrey spaces VMp,phi alpha,V related to Schrodinger type operator. We find the sufficient conditions on the pair (phi(1),phi(2)) which ensures the boundedness of these operators from one local generalized Morrey space LMp,phi alpha,V,{x0} to another LMp,phi 2 alpha,V,{x0} and from one vanishing generalized Morrey space VMp,phi alpha,V to another VMp,phi 2 alpha,V.
Anahtar Kelimeler
Schrodinger type operator, higher order Riesz transform, commutator, BMO, local generalized Morrey space
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı TWMS J. Pure Appl. Math.
Dergi ISSN 2219-1259
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce
Basım Tarihi 01-2019
Cilt No 10
Sayı 1
Sayfalar 58 / 75
Makale Linki http://www.twmsj.az/Files/Contents20V.10,20N.1,202019/pp58-75.pdf
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
WoS 8
Google Scholar 11

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