2017
Том 69
№ 6

All Issues

Whitney’s jets for Sobolev functions

Bojarski B.

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Abstract

We present two fundamental facts of the jet theory for Sobolev spaces $W^{m, p}$. One of them is that the formal differentiation of $k$-jets theory is compatible with the pointwise definition of Sobolev $(m - 1)$-jet spaces on regular subsets of Euclidean spaces $R^n$. The second result describes the Sobolev embedding operator of Sobolev jet spaces increasing the order of integrability of Sobolev functions up to the critical Sobolev exponent.

English version (Springer): Ukrainian Mathematical Journal 59 (2007), no. 3, pp 379-395.

Citation Example: Bojarski B. Whitney’s jets for Sobolev functions // Ukr. Mat. Zh. - 2007. - 59, № 3. - pp. 345–358.

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