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Boundedness of the Riesz Potential in Local Morrey-Type Spaces    
Yazarlar
Victor I. Burenkov
Amiran Gogatishvili
Prof. Dr. Vagıf GULIYEV Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi
Rza Ch Mustafayev
Özet
The problem of boundedness of the 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
Hardy operator on the cone of monotonic functions | Local and global Morrey-type spaces | Riesz potential
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı POTENTIAL ANALYSIS
Dergi ISSN 0926-2601
Dergi Grubu Q1
Makale Dili İngilizce
Basım Tarihi 07-2011
Cilt No 35
Sayı 1
Sayfalar 67 / 87
Doi Numarası 10.1007/s11118-010-9205-x
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
WoS 67
SCOPUS 71
Google Scholar 102
Boundedness of the Riesz Potential in Local Morrey-Type Spaces

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