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arXiv:0907.4448 [math.AP]AbstractReferencesReviewsResources

The fractional Hardy inequality with a remainder term

Bartłomiej Dyda

Published 2009-07-25, updated 2009-12-06Version 2

We calculate the regional fractional Laplacian on some power function on an interval. As an application, we prove Hardy inequality with an extra term for the fractional Laplacian on the interval with the optimal constant. As a result, we obtain the fractional Hardy inequality with best constant and an extra lower-order term for general domains, following the method developed by M. Loss and C. Sloane [arXiv:0907.3054v1 [math.AP]]

Comments: Major changes
Journal: Colloq. Math. 122 (2011), 59-67
Categories: math.AP
Subjects: 26D10, 46E35, 31C25
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