img
Characterizations for the potential operators on Carleson curves in local generalized Morrey spaces  
Yazarlar
Prof. Dr. Vagıf GULIYEV Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi, Türkiye
Hatice Armutcu
Gebze Teknik Üniversitesi, Turkey
Tahir Azeroglu
Gebze Teknik Üniversitesi, Turkey
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
Makale Türü Özgün Makale
Makale Alt Türü SCOPUS dergilerinde yayımlanan tam makale
Dergi Adı Open Mathematics
Dergi ISSN 2391-5455
Makale Dili İngilizce
Basım Tarihi 01-2020
Cilt No 18
Sayı 1
Sayfalar 1317 / 1331
Doi Numarası 10.1515/math-2020-0102