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Boundedness of the Riesz Potential in local Morrey-Type spaces

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.

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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
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

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