Locally defined operators in the space of C k,ω -functions-Reference-Cited by-同舟云学术

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

Published:2020-05-23 Issue:3 Volume:70 Page:745-752
ISSN:1337-2211
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Wróbel Małgorzata¹

Affiliation:

1. Institute of Mathematics , Czestochowa University of Technology , al. Armii Krajowej 21 PL 42-200 , Częstochowa , Poland

Abstract

Abstract For a closed set A ⊂ 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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2017-0387/pdf

Reference7 articles.

1. Brudnyi, A.: Methods of Geometric Analysis in Extension and Trace Problems, vol. 1, Technion R&D Foundation Ltd, P.Y.B., 2012.

2. Glaeser, G.: Etudes de quelques algebr‘es tayloriennes, J. ďAnalyse 6 (1958), 1–124.

3. Lichawski, K.—Matkowski, J.—Miś, J.: Locally defined operators in the space of differentiable functions, Bull. Polish Acad. Sci. Math. 37 (1989), 315–325.

4. Matkowski, J.—Wróbel, M.: Locally defined operators in the space of Whitney differentiable functions, Nonlinear Anal. TMA 68 (2008), 2873–3232.

5. Wróbel, M.: Representation theorem for local operators in the space of continuous and monotone functions, J. Math. Anal. Appl. 372 (2010), 45–54.

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The form of locally defined operators in waterman spaces;Mathematica Slovaca;2021-12-01