HARDY-LITTLEWOOD-SOBOLEV INEQUALITY IN TOTAL MORREY SPACES ON STRATIFIED LIE GROUPS
Yazarlar (1)
Prof. Dr. Vagıf GULIYEV Kırşehir Ahi Evran Üniversitesi, Türkiye
Makale Türü Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Applied and Computational Mathematics (Q1)
Dergi ISSN 1683-3511 Dergi Bilgileri (2026)
Makale Dili İngilizce Basım Tarihi 01-2026
Cilt / Sayı / Sayfa 25 / 1 / 180–196 DOI 10.30546/1683-6154.25.1.2026.180
Makale Linki https://scholar.google.com/scholar?cluster=3387889804054811109&hl=en&oi=scholarr
UAK Araştırma Alanları
Fen Bilimleri ve Matematik
Özet
We study some necessary and sufficient conditions for the boundedness of the fractional integral operator I alpha and its commutator [b, I alpha] on the total Morrey spaces Lp,lambda,& micro;(G), where G is a stratified Lie group. We characterize the strong and weak Spanne type and Adams type boundedness of I alpha on Lp,lambda,& micro;(G), respectively. We also give necessary and sufficient conditions for the boundedness of the commutator of the fractional integral operator [b, I alpha] on Lp,lambda,& micro;(G) when b belongs to the spaces BMO(G).
Anahtar Kelimeler
BMO Space | Commutator | Fractional Integral | Fractional Maximal Function | Stratified Group | Total Morrey Space
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
Web of Science 2
Scopus 3
Google Scholar 5
HARDY-LITTLEWOOD-SOBOLEV INEQUALITY IN TOTAL MORREY SPACES ON STRATIFIED LIE GROUPS

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