Generalized Fractional Integral Operators on Generalized Local Morrey Spaces

GULIYEV, VAGIF; Ismayilova, A F; Kucukaslan, A; Şerbetçi, Ayhan

doi:10.1155/2015/594323

Türkçe
Türkçe English

Generalized Fractional Integral Operators on Generalized Local Morrey Spaces

Yazarlar (4)
Prof. Dr. Vagıf GULIYEV Kurum Bilgileri Fen-Edebiyat Fakültesi Matematik Analiz ve Fonksiyonlar Teorisi Özgeçmiş Sayfası İletişim Bilgileri: vagif.guliyev@ahievran.edu.tr (386)280-4656 Ahi Evran Üniversitesi, Türkiye
A F Ismayilova
A Kucukaslan
Ayhan Şerbetçi Ankara Üniversitesi, Türkiye

Özet

We study the continuity properties of the generalized fractional integral operator I ρ on the generalized local Morrey spaces L M p, φ ^{x0} and generalized Morrey spaces M p, φ. We find conditions on the triple (φ 1, φ 2, ρ) which ensure the Spanne-type boundedness of I ρ from one generalized local Morrey space L M p, φ 1 ^{x0} to another L M q, φ2 ^{x0}, 1 < p < q < ∞, and from L M1,φ1 ^{x0} to the weak space W L Mq,φ 2 ^{x0}, 1 < q < ∞. We also find conditions on the pair (φ, ρ) which ensure the Adams-type boundedness of I ρ from Mp, φ1/p to Mq,φ1/q for 1 < p < q < ∞ and from M1,φ to W Mq,φ1/q for 1 < q < ∞. In all cases the conditions for the boundedness of I ρ are given in terms of Zygmund-type integral inequalities on (φ 1, φ 2, ρ) and (φ, ρ), which do not assume any assumption on monotonicity of φ1(x, r), φ 2 (x, r), and φ (x, r) in r.

Anahtar Kelimeler

Makale Türü	Özgün Makale
Makale Alt Türü	SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı	JOURNAL OF FUNCTION SPACES
Dergi ISSN	2314-8896 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler	SCI-Expanded
Dergi Grubu	Q4
Makale Dili	İngilizce
Basım Tarihi	01-2015
Cilt No	2015
Sayı	1
Sayfalar	1 / 8
Doi Numarası	10.1155/2015/594323
Makale Linki	http://www.hindawi.com/journals/jfs/2015/594323/

BM Sürdürülebilir Kalkınma Amaçları

Atıf Sayıları
WoS	8
SCOPUS	11
Google Scholar	22

Generalized Fractional Integral Operators on Generalized Local Morrey Spaces

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Generalized Fractional Integral Operators on Generalized Local Morrey Spaces

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