Boundedness of the Riesz Potential in Local Morrey-Type Spaces
    
Yazarlar (4)
Victor I. Burenkov
Università Degli Studi Di Padova, İtalya
Amiran Gogatishvili
Institute Of Mathematics Of The Academy Of Sciences Of The Czech Republic, Çek Cumhuriyeti
Prof. Dr. Vagıf GULIYEV Kırşehir Ahi Evran Üniversitesi, Türkiye
Rza Ch Mustafayev
Azerbaijan National Academy Of Sciences, Azerbaycan
Makale Türü Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Potential Analysis (Q1)
Dergi ISSN 0926-2601 Wos Dergi Scopus Dergi
Makale Dili İngilizce Basım Tarihi 07-2011
Cilt / Sayı / Sayfa 35 / 1 / 67–87 DOI 10.1007/s11118-010-9205-x
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
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
WoS 70
SCOPUS 77
Google Scholar 105
Boundedness of the Riesz Potential in Local Morrey-Type Spaces

Paylaş