Locally defined operators in the space of $C^k,ω$-functions

Year, pages: 2020, 745 - 752

For a closed set $A\subset \mathbb{R}ⁿ$ a representation theorem for locally defined operators maping the space $C^k,ω(A)$ consisting of all $k$-times continuously differentiable functions on $A$ whose $k$-th derivatives have modulus of continuity $ω $ into $C^0,ω(A)$ is presented.

Wróbel, M. 2020. Locally defined operators in the space of $C^k,ω$-functions. In Mathematica Slovaca, vol. 70, no.3, pp. 745-752. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0387

Wróbel, M. (2020). Locally defined operators in the space of $C^k,ω$-functions. Mathematica Slovaca, 70(3), 745-752. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0387

Publisher: Mathematical Institute, Slovak Academy of Sciences, Bratislava