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Marcinkiewicz integrals associated with Schrödinger operator on generalized Morrey spaces    
Yazarlar (2)
Prof. Dr. Ali AKBULUT Prof. Dr. Ali AKBULUT
Ahi Evran Üniversitesi, Türkiye
Doç. Dr. Okan KUZU Doç. Dr. Okan KUZU
Ahi Evran Üniversitesi, Türkiye
Devamını Göster
Özet
Let L = -Delta+V be a Schrodinger operator, where. is the Laplacian on R-n, while nonnegative potential V belongs to the reverse Holder class. In this paper, we study the boundedness of the Marcinkiewicz operator associated with Schrodinger operator mu(L)(j) on generalized Morrey spaces M-p,M-phi. We find the sufficient conditions on the pair (phi(1),phi(2)) which ensures the boundedness of the operators mu(L)(j) from one generalized Morrey space M-p,M-phi 1 to another M-p,M-phi 2, 1 < p < infinity and from the space M-1,M-phi 1 to the weak space WM1,phi 2.
Anahtar Kelimeler
Marcinkiewicz operator | Schrodinger operator | generalized Morrey space
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı JOURNAL OF MATHEMATICAL INEQUALITIES
Dergi ISSN 1846-579X Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce
Basım Tarihi 12-2014
Cilt No 8
Sayı 4
Sayfalar 791 / 801
Doi Numarası 10.7153/jmi-08-60
Makale Linki http://files.ele-math.com/articles/jmi-08-60.pdf