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Sobolev trace inequality on W{s, q}( Rn)

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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)

  1. K. I. Babenko, "An inequality in the theory of Fourier integrals", Izv. Akad. Nauk SSSR Ser. Mat, 25, pp.531~542 (1961)
  2. William Beckner, "Inequalities in Fourier Analysis", The Annals of Mathematics, 102(1), pp.159~182 (1975), JSTOR[DOI]
  3. 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]
  4. 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]
  5. Jose Escobar, "Sharp constant in a Sobolev trace inequality", Indiana University Mathematics Journal, 37(3), pp.687~698 (1988), Indiana University Mathematics Journal[DOI]
  6. Hee Chul Pak, "Sharp trace inequalities on fractional Sobolev spaces", Mathematische Nachrichten, 284(5-6), pp.761~763 (2011), Wiley[DOI]
  7. 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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