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Marcinkiewicz integrals associated with Schrödinger operator on generalized Morrey spaces    
Yazarlar
Prof. Dr. Ali AKBULUT
Ahi Evran Üniversitesi, Türkiye
Doç. Dr. Okan KUZU
Ahi Evran Üniversitesi, Türkiye
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
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