Boundedness of the Riesz Potential in Local Morrey-Type Spaces

被引：0
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作者：
Victor I. Burenkov
Amiran Gogatishvili
Vagif S. Guliyev
Rza Ch. Mustafayev
机构：
[1] Padova University,Dipartimento di matematica pura ed applicata
[2] Institute of Mathematics of the Academy of Sciences of the Czech Republic,Department of Mathematics
[3] Ahi Evran University,Institute of Mathematics and Mechanics
[4] Academy of Sciences of Azerbaijan,undefined
来源：
Potential Analysis | 2011年 / 35卷
关键词：
Riesz potential; Local and global Morrey-type spaces; Hardy operator on the cone of monotonic functions; Primary 42B20; 42B25; 42B35;
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摘要：
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 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.
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页码：67 / 87
页数：20
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