On the boundedness of the fractional maximal operator, riesz potential and their commutators in generalized morrey spaces
Yazarlar (2)
Prof. Dr. Vagıf GULIYEV Kırşehir Ahi Evran Üniversitesi, Türkiye
Parviz S. Shukurov Azerbaijan National Academy Of Sciences, Azerbaycan
Makale Türü Özgün Makale (SCOPUS dergilerinde yayınlanan tam makale)
Dergi Adı Operator Theory Advances and Applications
Dergi ISSN 0255-0156
Makale Dili İngilizce Basım Tarihi 01-2013
Cilt / Sayı / Sayfa 229 / 1 / 175–199 DOI 10.1007/978-3-0348-0516-2_10
Makale Linki http://www.scopus.com/inward/record.url?eid=2-s2.0-85052845793&partnerID=MN8TOARS
Özet
In the paper the authors find conditions on the pair \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$ (\varphi_{1},\varphi_{2}) $$ \end{document} which ensure the Spanne type boundedness of the fractional maximal operator \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$ M_{\alpha} $$ \end{document} and the Riesz potential operator \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb …
Anahtar Kelimeler
BMO space | Commutator | Fractional maximal operator | Generalized Morrey space | Riesz potential operator