Characterizations for the potential operators on Carleson curves in local generalized Morrey spaces
Yazarlar (3)
Prof. Dr. Vagıf GULIYEV
Baku State University, Azerbaycan
Gebze Teknik Üniversitesi, Türkiye
Gebze Teknik Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(SCOPUS dergilerinde yayınlanan tam makale)
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| Dergi Adı | Open Mathematics | ||
| Dergi ISSN | 2391-5455 Wos Dergi Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2020 |
| Cilt / Sayı / Sayfa | 18 / 1 / 1317–1331 | DOI | 10.1515/math-2020-0102 |
| Makale Linki | https://www.degruyter.com/downloadpdf/journals/math/18/1/article-p1317.pdf | ||
| Özet |
| In this paper, we give a boundedness criterion for the potential operator Iα in the local generalized Morrey space LMp,φ{t, 0} (Γ) and the generalized Morrey space Mp,φ (Γ) defined on Carleson curves Γ, respectively. For the operator Iα, we establish necessary and sufficient conditions for the strong and weak Spanne-type boundedness on LMp,φ{t, 0} (Γ) and the strong and weak Adams-type boundedness on Mp,φ (Γ). |
| Anahtar Kelimeler |
| Adams-type inequalities | Carleson curve | local generalized Morrey space | potential operator |