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Lifting properties of Sobolev spaces.

Burenkov, Victor 2003. Lifting properties of Sobolev spaces. Presented at: International Conference on Function Spaces, Differential Operators and Nonlinear Analysis., Teistungen, Germany, 28 Jun - 04 July 2001. Published in: Haroske, D., Runst, T. and Schmeisser, H.J. eds. Function Spaces, Differential Operators, and Nonlinear Analysis: The Hans Triebel Anniversary Volume. Birkhauser Verlag AG, pp. 231-236.

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We prove that a Sobolev-type inequality for an arbitrary open set Q subset of R-N is equivalent to inequalities of such type with different exponents for Omega x I, where I is an interval, or Omega x Omega. The proofs are based on the factorisation property of the appropriate heat kernels.

Item Type: Conference or Workshop Item (Paper)
Date Type: Publication
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Publisher: Birkhauser Verlag AG
ISBN: 3764369353
Last Modified: 04 Jun 2017 08:47

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