On extension of functions, being integrable with weight on interval and satisfying conditions of Lipschitz type

S.V. Goncharov

doi:10.15421/241604

On extension of functions, being integrable with weight on interval and satisfying conditions of Lipschitz type

S.V. Goncharov (Oles Honchar Dnipropetrovsk National University), https://orcid.org/0000-0002-8071-8746

Abstract

We show the method to expand functions being integrable with a weight on the interval, and satisfying conditions of integral Lipschitz type, on the whole line. We prove that the differential properties of such functions are kept at the expansion.

Keywords

integral metric; Lipschitz condition; weight function; expansion

Full Text:

PDF (Русский)

References

Goncharov S.V. "On the inclusion of classes of functions, being integrable with a weight on the interval and satisfying conditions of Lipschitz type", Res. Math., 2014; 19: pp. 24-35. (in Russian) doi:10.15421/241404

Dzyadyk V.K. "On the extension of functions satisfying Lipschitz condition in $$$L_p$$$ metric", Matem. sbornik, 1956; 40(82/2): pp. 239-242. (in Russian)

DOI: https://doi.org/10.15421/241604