Characterizations for the potential operators on Carleson curves in local generalized Morrey spaces
Yazarlar (3)
Prof. Dr. Vagıf GULIYEV Baku State University, Azerbaycan
Hatice Armutcu Gebze Teknik Üniversitesi, Türkiye
Tahir Azeroglu Gebze Teknik Üniversitesi, Türkiye
Makale Türü Açık Erişim Özgün Makale (SCOPUS dergilerinde yayınlanan tam makale)
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 in the local generalized Morrey space and the generalized Morrey space defined on Carleson curves , respectively. For the operator , we establish necessary and sufficient conditions for the strong and weak Spanne-type boundedness on and the strong and weak Adams-type boundedness on .
Anahtar Kelimeler
Adams-type inequalities | Carleson curve | local generalized Morrey space | potential operator