Hardy inequalities for fractional integrals on general domains |
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| Authors: | Michael Loss Craig Sloane |
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| Affiliation: | Georgia Institute of Technology, School of Mathematics, Atlanta, GA 30332-0160, United States |
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| Abstract: | We prove a sharp Hardy inequality for fractional integrals for functions that are supported in a general domain. The constant is the same as the one for the half-space and hence our result settles a recent conjecture of Bogdan and Dyda. |
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| Keywords: | Fractional Hardy inequality Best constant Fractional Laplacian |
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