Yazarlar |
Prof. Dr. Ali AKBULUT
Kırşehir Ahi Evran Üniversitesi, Türkiye |
İsmail Ekincioğlu
Kütahya Dumlupınar Üniversitesi, Türkiye |
Ayhan Şerbetçi
Ankara Üniversitesi, Türkiye |
Tamara Tararykova
|
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 |
Makale Türü | Özgün Makale |
Makale Alt Türü | Diğer hakemli uluslarası dergilerde yayımlanan tam makale |
Dergi Adı | EURASIAN MATHEMATICAL JOURNAL |
Dergi ISSN | 2077-9879 |
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 No | 2 |
Sayı | 2 |
Sayfalar | 5 / 30 |
Makale Linki | http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=emj&paperid=50&option_lang=eng |