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Boundedness of the anisotropic Riesz potential in anisotropic local Morrey type spaces       
Yazarlar
Akbulut Ali
Muradovo Sh
Guliyev Vagıf
Özet
The problem of boundedness of the anisotropic Riesz potential in local Morrey-type spaces is reduced to the problem of boundedness of the Hardy operator in weighted L p -spaces on the cone of non-negative non-increasing functions. This allows obtaining sharp sufficient conditions for boundedness for all admissible values of the parameters, which, for a certain range of the parameters wider than known before, coincide with the necessary ones.
Anahtar Kelimeler
anisotropic Riesz potential, anisotropic local and global Morrey-type spaces, Hardy operator on the cone of monotonic functions, Primary, 42B20, 42B25, 42B35
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı Complex Variables and Elliptic Equations
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce
Basım Tarihi 01-2013
Cilt No 58
Sayı 2
Sayfalar 259 / 280
Doi Numarası 10.1080/17476933.2011.575465
Makale Linki http://www.tandfonline.com/doi/abs/10.1080/17476933.2011.575465
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
WoS 4
SCOPUS 6
Google Scholar 11
Boundedness of the anisotropic Riesz potential in anisotropic local Morrey type spaces

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