Commutators of Marcinkiewicz integrals associated with Schrödinger operator on generalized weighted Morrey spaces
Yazarlar (4)
Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi, Türkiye
Prof. Dr. Ali AKBULUT
Kırşehir Ahi Evran Üniversitesi, Türkiye
Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
Doç. Dr. Okan KUZU
Kırşehir Ahi Evran Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | Journal of Mathematical Inequalities | ||
| Dergi ISSN | 1846-579X Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 12-2016 |
| Cilt / Sayı / Sayfa | 10 / 4 / 947–970 | DOI | 10.7153/jmi-10-77 |
| Makale Linki | http://files.ele-math.com/abstracts/jmi-10-77-abs.pdf | ||
| Özet |
| Let L = -Delta + V be a Schrodinger operator, where Delta is the Laplacian on R-n, while nonnegative potential V belongs to the reverse Holder class. Let also Omega is an element of L-q(Sn-1) be a homogeneous function of degree zero with q > 1 and have a mean value zero on Sn-1. In this paper, we study the boundedness of the Marcinkiewicz operators mu(L)(j,Omega) and their commutators mu(L)(j,Omega,b) with rough kernels associated with Schrodinger operator on generalized weighted Morrey spaces M-p,M-phi(w). We find the sufficient conditions on the pair (phi(1), phi(2)) with q' < p < infinity and w is an element of A(p/q') or 1 < p < q and w(1-p') is an element of A(p'/q') which ensures the boundedness of the operators mu(L)(j,Omega) from one generalized weighted Morrey space M-p,M-phi 1(w) to another M-p,M-phi 2(w) for 1 < p < infinity. We find the sufficient conditions on the pair (phi(1), phi(2)) with b is an element of BMO(R-n) and q' < p < infinity, w is an element of A(p/q') or 1 < p < q w(1-p') is an element of A(p'/q') which ensures the boundedness of the operators mu(L)(j,Omega,b), j = 1, ... , n from M-p,M-phi 1(w) to M-p,M-phi 2(w) for 1 < p < infinity. In all cases the conditions for the boundedness of the operators mu(L)(j,Omega), mu(L)(j,Omega,b), j = 1, ... , n are given in terms of Zygmund-type integral inequalities on (phi(1), phi(2)) and w, which do not assume any assumption on monotonicity of phi(1)(x, r), phi(2)(x, r) in r. |
| Anahtar Kelimeler |
| Commutator, Ap weights | Generalized weighted Morrey spaces | Marcinkiewicz operator | Rough kernel | Schrödinger operator |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| WoS | 5 |
| SCOPUS | 7 |
| Google Scholar | 9 |