Boundedness of fractional maximal operator and their higher order commutators in generalized Morrey spaces on Carnot groups
Yazarlar (3)
Prof. Dr. Vagıf GULIYEV Kırşehir Ahi Evran Üniversitesi, Türkiye
Prof. Dr. Ali AKBULUT Kırşehir Ahi Evran Üniversitesi, Türkiye
Yagub Mammadov Nakhchivan Teachers Institute, Azerbaycan
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Acta Mathematica Scientia | ||
| Dergi ISSN | 0252-9602 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 09-2013 |
| Kabul Tarihi | 12-04-2026 | Yayınlanma Tarihi | 01-09-2013 |
| Cilt / Sayı / Sayfa | 33 / 5 / 1329–1346 | DOI | 10.1016/S0252-9602(13)60085-5 |
| Makale Linki | https://linkinghub.elsevier.com/retrieve/pii/S0252960213600855 | ||
| Özet |
| In the article we consider the fractional maximal operator M α, 0≤ α< Q on any Carnot group G (ie, nilpotent stratified Lie group) in the generalized Morrey spaces M p, φ (G), where Q is the homogeneous dimension of G. We find the conditions on the pair φ 1, φ 2) which ensures the boundedness of the operator M a from one generalized Morrey space M p, φ 1 (G) to another M q, φ 2 (G), 1< p≤ q<∞, 1/p− 1/q= α/Q, and from the space M p, φ 1 (G) to the weak space W M q, φ 2 (G), 1≤ q<∞, 1− 1/q= α/Q. Also find conditions on the φ which ensure the Adams type boundedness of the M a from M p, φ 1 p (G) to M p, φ 1 q (G) for 1< p< q<∞ and from M 1, φ (G) to W M q, φ 1 q (G) for 1< q<∞. In the case b∈ BMO (G) and 1< p< q<∞, find the sufficient conditions on the pair (φ 1, φ 2) which ensures the boundedness of the kth-order commutator operator M b, a, k from M p, φ 1 (G) to M p, φ 2 (G) with 1/p− 1/q= a/Q. Also find … |
| Anahtar Kelimeler |
| BMO space | Carnot group | Fractional maximal function | Generalized Morrey space | Schrödinger operator |
Science Direct
Boundedness of fractional maximal operator and their higher order commutators in generalized Morrey spaces on Carnot groups
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Google Scholar | 45 |
| Scopus | 16 |
| Web of Science | 27 |