Locally Lipschitz Composition Operators in Space of the Functions of Bounded κΦ-Variation
We give a necessary and sufficient condition on a function h:R→R under which the nonlinear composition operator H, associated with the function h, Hu(t)=h(u(t)), acts in the space κΦBV[a,b] and satisfies a local Lipschitz condition.
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2014/606307 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832564284856467456 |
|---|---|
| author | Odalis Mejía Nelson José Merentes Díaz Beata Rzepka |
| author_facet | Odalis Mejía Nelson José Merentes Díaz Beata Rzepka |
| author_sort | Odalis Mejía |
| collection | DOAJ |
| description | We give a necessary and sufficient condition on a function h:R→R under which the nonlinear composition operator H, associated with the function h, Hu(t)=h(u(t)), acts in the space κΦBV[a,b] and satisfies a local Lipschitz condition. |
| format | Article |
| id | doaj-art-a2df0414732d4a66a17329f404fb7359 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-a2df0414732d4a66a17329f404fb73592025-02-03T01:11:27ZengWileyJournal of Function Spaces2314-88962314-88882014-01-01201410.1155/2014/606307606307Locally Lipschitz Composition Operators in Space of the Functions of Bounded κΦ-VariationOdalis Mejía0Nelson José Merentes Díaz1Beata Rzepka2Departamento de Matemática, Universidad Central de Venezuela, Caracas 1220A, VenezuelaDepartamento de Matemática, Universidad Central de Venezuela, Caracas 1220A, VenezuelaDepartment of Mathematics, Rzeszów University of Technology, Al. Powstańców Warszawy 8, 35-959 Rzeszów, PolandWe give a necessary and sufficient condition on a function h:R→R under which the nonlinear composition operator H, associated with the function h, Hu(t)=h(u(t)), acts in the space κΦBV[a,b] and satisfies a local Lipschitz condition.http://dx.doi.org/10.1155/2014/606307 |
| spellingShingle | Odalis Mejía Nelson José Merentes Díaz Beata Rzepka Locally Lipschitz Composition Operators in Space of the Functions of Bounded κΦ-Variation Journal of Function Spaces |
| title | Locally Lipschitz Composition Operators in Space of the Functions of Bounded κΦ-Variation |
| title_full | Locally Lipschitz Composition Operators in Space of the Functions of Bounded κΦ-Variation |
| title_fullStr | Locally Lipschitz Composition Operators in Space of the Functions of Bounded κΦ-Variation |
| title_full_unstemmed | Locally Lipschitz Composition Operators in Space of the Functions of Bounded κΦ-Variation |
| title_short | Locally Lipschitz Composition Operators in Space of the Functions of Bounded κΦ-Variation |
| title_sort | locally lipschitz composition operators in space of the functions of bounded κφ variation |
| url | http://dx.doi.org/10.1155/2014/606307 |
| work_keys_str_mv | AT odalismejia locallylipschitzcompositionoperatorsinspaceofthefunctionsofboundedkphvariation AT nelsonjosemerentesdiaz locallylipschitzcompositionoperatorsinspaceofthefunctionsofboundedkphvariation AT beatarzepka locallylipschitzcompositionoperatorsinspaceofthefunctionsofboundedkphvariation |