Boundedness of the fractional maximal operator in local Morrey-type spaces

By Victor Burenkov, Amiran Gogatishvili, Vagif S. Guliyev, R. Mustafayev. 2010

135 citations recorded by the source corpus.

Subfields: Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/7be9607cfeae3531f7677b5bf722e3f36f2db8aa

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In Applied Mathematics

1. Vagif S. Guliyev
2. F. Deringoz
3. S. Samko
4. Yoshihiro Sawano
5. P. Hasto
6. V. Kokilashvili
7. Jingshi Xu
8. A. Meskhi

Citations in the corpus

• On the boundedness of the maximal operator and singular integral operators in generalized Morrey spaces (2012, unknown): “…a continuous non-negative function on (0 , ∞ ) Then the operator S u is bounded from L ∞ ,v 1 (0 , ∞ ) to L ∞ ,v 2 (0 , ∞ ) on the cone A if and only if Sufficient conditions on ω for the boundedness of M in generalized Morrey spaces M p,ω ( R n ) have been obtained in [1], [2], [4], [5], [14], [17].”
• Boundedness of the Maximal and Singular Operators on Generalized Orlicz–Morrey Spaces (2013, background): “The following theorem was proved in [4].”