A sharp Sobolev trace inequality for the fractional-order derivatives |
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| Authors: | Jie Xiao |
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| Affiliation: | Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, Canada A1C 5S7 |
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| Abstract: | We establish a sharp Sobolev trace inequality for the fractional-order derivatives. As a close connection with this best estimate, we show a fractional-order logarithmic Sobolev trace inequality with the asymptotically optimal constant, but also sharpen the Poincaré embedding for the conformal invariant energy and BMO spaces. |
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| Keywords: | primary 46E35 42C99 |
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