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Boundedness of the Riesz Potential in Local Morrey-Type Spaces
- 1.0348182 - MÚ 2012 RIV NL eng J - Journal Article
Burenkov, V.I. - Gogatishvili, Amiran - Guliyev, V.S. - Mustafayev, Rza
Boundedness of the Riesz Potential in Local Morrey-Type Spaces.
Potential Analysis. Roč. 35, č. 1 (2011), s. 67-87. ISSN 0926-2601. E-ISSN 1572-929X
R&D Projects: GA ČR GA201/05/2033; GA ČR GA201/08/0383
Institutional research plan: CEZ:AV0Z10190503
Keywords : Riesz potential * Local and global Morrey-type spaces * Hardy operator on the cone of monotonic functions
Subject RIV: BA - General Mathematics
Impact factor: 0.943, year: 2011
http://www.springerlink.com/content/e870127551734p36/
The problem of boundedness of the Riesz potential in local Morreytype spaces is reduced to the problem of boundedness of the Hardy operator in weighted Lp-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.
Permanent Link: http://hdl.handle.net/11104/0188776
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