Boundedness of the Riesz Potential in Local Morrey-Type Spaces

@article{Burenkov2007BoundednessOT,
  title={Boundedness of the Riesz Potential in Local Morrey-Type Spaces},
  author={Alexander Burenkov and Amiran Gogatishvili and Vagif S. Guliyev and R. Mustavayev},
  journal={Potential Analysis},
  year={2007},
  volume={35},
  pages={67-87}
}
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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