Marcinkiewicz integrals associated with Schrödinger operator on generalized Morrey spaces
      
Yazarlar (2)
Prof. Dr. Ali AKBULUT Kırşehir Ahi Evran Üniversitesi, Türkiye
Doç. Dr. Okan KUZU Kırşehir Ahi Evran Üniversitesi, Türkiye
Makale Türü Açık Erişim Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan 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 / Sayı / Sayfa 8 / 4 / 791–801 DOI 10.7153/jmi-08-60
Makale Linki http://files.ele-math.com/abstracts/jmi-08-60-abs.pdf
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
Generalized morrey space | Marcinkiewicz operator | Schrödinger operator