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 Ahi Evran Üniversitesi, Türkiye
Makale Türü Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı JOURNAL OF MATHEMATICAL INEQUALITIES (Q2)
Dergi ISSN 1846-579X Dergi Bilgileri (2014)
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/articles/jmi-08-60.pdf
UAK Araştırma Alanları
Matematik Eğitimi
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
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
Web of Science 6
Marcinkiewicz integrals associated with Schrödinger operator on generalized Morrey spaces