On the extension of functions, being integrable with a weight on $$$[-1;1]$$$ and satisfying condition of Lipschitz type

S.V. Goncharov

doi:10.15421/241310

On the extension of functions, being integrable with a weight on $$$[-1;1]$$$ and satisfying condition 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 condition of integral Lipschitz type, on the whole line.

Keywords

integral metric; Lipschitz condition; weight function

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References

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/10.15421/241310