2019
Том 71
№ 10

# Bojarski B.

Articles: 2
Anniversaries (Ukrainian)

### Yuri Yurievich Trokhimchuk (on his 80th birthday)

Ukr. Mat. Zh. - 2008. - 60, № 5. - pp. 701 – 703

Article (English)

### Whitney’s jets for Sobolev functions

Ukr. Mat. Zh. - 2007. - 59, № 3. - pp. 345–358

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.