Fractional integral associated with Schrödinger operator on vanishing generalized Morrey spaces

AKBULUT, ALİ; Guliyev, Ramin V.; Celik, Suleyman; Omarova, Mehriban N.

doi:10.7153/JMI-2018-12-60

Fractional integral associated with Schrödinger operator on vanishing generalized Morrey spaces

Yazarlar (4)

Prof. Dr. Ali AKBULUT Kırşehir Ahi Evran Üniversitesi, Türkiye

Ramin V. Guliyev
Azerbaijan National Academy Of Sciences, Azerbaycan

Öğr. Gör. Suleyman Celik Kırşehir Ahi Evran Üniversitesi, Türkiye

Mehriban N. Omarova
Baku State University, Azerbaycan

Makale Türü	Özgün Makale (SCOPUS dergilerinde yayınlanan tam makale)
Dergi Adı	Journal of Mathematical Inequalities
Dergi ISSN	1846-579X Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler	Wos
Makale Dili	İngilizce	Basım Tarihi	01-2018
Kabul Tarihi	–	Yayınlanma Tarihi	01-01-2018
Cilt / Sayı / Sayfa	12 / 3 / 789–805	DOI	10.7153/JMI-2018-12-60
Makale Linki	https://files.ele-math.com/articles/jmi-12-60.pdf
UAK Araştırma Alanları	Matematiksel Analiz Matematiksel Analiz

Özet

Let L = -Δ+V be a Schrödinger operator, where the non-negative potential V belongs to the reverse Hölder class RHn/2, let b belong to a new BMOθ (ρ) space, and let I^L β be the fractional integral operator associated with L. In this paper, we study the boundedness of the operator IL β and its commutators [b,I^L β] with b ∈ BMOθ (ρ) on generalized Morrey spaces associated with Schrödinger operator M^α,V p,ϕ and vanishing generalized Morrey spaces associated with Schrödinger operator VMα,V p,ϕ . We find the sufficient conditions on the pair (ϕ1,ϕ2) which ensures the boundedness of the operator I^L β from Mα,V p,ϕ1 to M^α,V q,ϕ2 and from VM^α,V p,ϕ1 to VM^α,V q,ϕ2, 1/p-1/q =β /n. When b belongs to BMOθ (ρ) and (ϕ1,ϕ2) satisfies some conditions, we also show that the commutator operator [b,I^L β] is bounded from M^α,V p,ϕ1 to M^α,V q,ϕ2 and from VM^α,V p,ϕ1 to VM^α,V q,ϕ2, 1/p-1/q =β /n.

Anahtar Kelimeler

BMO | Commutator | Fractional integral associated with Schrödinger operator | Vanishing generalized Morrey space associated with Schrödinger operator

BM Sürdürülebilir Kalkınma Amaçları

Atıf Sayıları
Web of Science	4
Scopus	7

Fractional integral associated with Schrödinger operator on vanishing generalized Morrey spaces

Dergi Adı	Journal of Mathematical Inequalities
Yayıncı	Element D.O.O.
Açık Erişim	Hayır
ISSN	1846-579X
E-ISSN	1846-579X
CiteScore	2,5
SJR	0,543
SNIP	0,825

Fractional integral associated with Schrödinger operator on vanishing generalized Morrey spaces

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