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Boundedness of the anisotropic Riesz potential in anisotropic local Morrey type spaces       
Yazarlar
Prof. Dr. Ali AKBULUT Prof. Dr. Ali AKBULUT
Kırşehir Ahi Evran Üniversitesi, Türkiye
Prof. Dr. Vagıf GULIYEV Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi, Türkiye
Sh A. Muradova
Institute of Mathematics and Mechanics Ministry of Science and Education Republic of Azerbaijan, Azerbaijan
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 local and global Morrey-type spaces | anisotropic Riesz potential | Hardy operator on the cone of monotonic functions
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı COMPLEX VARIABLES AND ELLIPTIC EQUATIONS
Dergi ISSN 1747-6933
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce
Basım Tarihi 02-2013
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