Hardy-type inequalities in arbitrary domains with finite inner radius |
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Authors: | F G Avkhadiev R G Nasibullin |
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Institution: | 1. Kazan Federal University, Kazan, Russia
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Abstract: | We prove Hardy-type inequalities in spatial domains with finite inner radius, in particular, one-dimensional L p -inequalities and their multidimensional analogs. The powers of the distance to the boundary of a set occur in the weight functions of spatial inequalities. It is demonstrated that the constant is sharp of the L 1-inequalities in one-dimensional and multidimensional cases for convex domains. |
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