Burenkov, Victor I., Gogatishvili, Amiran, Guliyev, Vagif S. and Mustafayev, Rza Ch. 2011. Boundedness of the Riesz Potential in local Morrey-Type spaces. Potential Analysis 35 (1) , pp. 67-87. |
Official URL: http://link.springer.com/article/10.1007%2Fs11118-...
Abstract
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.
Item Type: | Article |
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Status: | Published |
Schools: | Mathematics |
Subjects: | Q Science > QA Mathematics |
Uncontrolled Keywords: | Riesz potential, Local and global Morrey-type spaces, Hardy operator on the cone of monotonic functions |
Publisher: | Springer |
ISSN: | 0926-2601 |
Last Modified: | 18 May 2016 13:56 |
URI: | https://orca.cardiff.ac.uk/id/eprint/84899 |
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