Boundedness of the anisotropic fractional maximal operator in anisotropic local Morrey type spaces
Yazarlar (4)
Prof. Dr. Ali AKBULUT
Kırşehir Ahi Evran Üniversitesi, Türkiye
Kütahya Dumlupınar Üniversitesi, Türkiye
Ankara Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (Diğer hakemli uluslarası dergilerde yayınlanan tam makale) | ||
| Dergi Adı | EURASIAN MATHEMATICAL JOURNAL | ||
| Dergi ISSN | 2077-9879 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | Mathematical Reviews (American Mathematical Society, USA)Zentralblatt MATH (ZMATH, GERMANY)Referativnyi Zhurnal-Matematika (RUSSIA) | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2011 |
| Cilt / Sayı / Sayfa | 2 / 2 / 5–30 | DOI | – |
| Makale Linki | http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=emj&paperid=50&option_lang=eng | ||
| Özet |
| In this paper we study the boundedness of the anisotropic fractional maximal operator in anisotropic local Morrey-type spaces. We reduce this problem to the problem of boundedness of the supremal operator in weighted L-p-spaces on the cone of non-negative non-decreasing functions. This makes it possible to derive sharp sufficient conditions for boundedness for all admissible values of the numerical parameters, which, for a certain range of the numerical parameters, coincide with the necessary ones. |
| Anahtar Kelimeler |
| anisotropic fractional maximal operator | anisotropic local and global Morrey-type spaces | supremal operator on the cone of monotonic functions |
