논문KCI 등재
Sobolev trace inequality on W{s, q}( Rn)
대한수학회 (The Korean Mathematical Society)|2020.09|대한수학회보 (Bulletin of the KMS)|제57권 제5호|pp. 1143-1149|DOI 10.4134/BKMS.b190826
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초록
Sobolev trace inequalities on nonhomogeneous fractional \linebreak Sobolev spaces are established.
Abstract
Sobolev trace inequalities on nonhomogeneous fractional \linebreak Sobolev spaces are established.
참고문헌 (7)
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- William Beckner, "Sharp Sobolev Inequalities on the Sphere and the Moser--Trudinger Inequality", The Annals of Mathematics, 138(1), pp.213~242 (1993), JSTOR[DOI]
- Amit Einav, "Sharp trace inequalities for fractional Laplacians", Proceedings of the American Mathematical Society, 140(12), pp.4209~4216 (2012), American Mathematical Society (AMS)[DOI]
- Jose Escobar, "Sharp constant in a Sobolev trace inequality", Indiana University Mathematics Journal, 37(3), pp.687~698 (1988), Indiana University Mathematics Journal[DOI]
- Hee Chul Pak, "Sharp trace inequalities on fractional Sobolev spaces", Mathematische Nachrichten, 284(5-6), pp.761~763 (2011), Wiley[DOI]
- Young Ja Park, "The sharp Sobolev trace inequality in a limiting case", Mathematical Inequalities & Applications, 13(3), pp.629~633 (1998), Element d.o.o.[DOI]
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