Weighted modular inequalities for monotone functions
Weight characterizations of weighted modular inequalities for operators on the cone of monotone functions are given in terms of composition operators on arbitrary non-negative functions with changes in weights. The results extend to modular inequalities, those corresponding to weighted Lebesgue sp...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
1997-01-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S1025583497000131 |
| _version_ | 1818109603376791552 |
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| author | A. Kufner H. P. Heinig P. Drábek |
| author_facet | A. Kufner H. P. Heinig P. Drábek |
| author_sort | A. Kufner |
| collection | DOAJ |
| description | Weight characterizations of weighted modular inequalities for operators on the cone of monotone functions are given in terms of composition operators on arbitrary non-negative functions with changes in weights. The results extend to modular inequalities, those corresponding to weighted Lebesgue spaces given by E.T. Sawyer [15]. Application to Hardy and fractional integral operators on monotone functions are given. |
| first_indexed | 2024-12-11T02:33:53Z |
| format | Article |
| id | doaj.art-c64efc4fcb4e4eb78738e7ca7d2312dc |
| institution | Directory Open Access Journal |
| issn | 1025-5834 1029-242X |
| language | English |
| last_indexed | 2024-12-11T02:33:53Z |
| publishDate | 1997-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-c64efc4fcb4e4eb78738e7ca7d2312dc2022-12-22T01:23:47ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X1997-01-011218319710.1155/S1025583497000131Weighted modular inequalities for monotone functionsA. KufnerH. P. HeinigP. DrábekWeight characterizations of weighted modular inequalities for operators on the cone of monotone functions are given in terms of composition operators on arbitrary non-negative functions with changes in weights. The results extend to modular inequalities, those corresponding to weighted Lebesgue spaces given by E.T. Sawyer [15]. Application to Hardy and fractional integral operators on monotone functions are given.http://dx.doi.org/10.1155/S1025583497000131Weighted modular inequalities; Orlicz spaces; norms; duality; Hardy type inequalities. |
| spellingShingle | A. Kufner H. P. Heinig P. Drábek Weighted modular inequalities for monotone functions Journal of Inequalities and Applications Weighted modular inequalities; Orlicz spaces; norms; duality; Hardy type inequalities. |
| title | Weighted modular inequalities for monotone functions |
| title_full | Weighted modular inequalities for monotone functions |
| title_fullStr | Weighted modular inequalities for monotone functions |
| title_full_unstemmed | Weighted modular inequalities for monotone functions |
| title_short | Weighted modular inequalities for monotone functions |
| title_sort | weighted modular inequalities for monotone functions |
| topic | Weighted modular inequalities; Orlicz spaces; norms; duality; Hardy type inequalities. |
| url | http://dx.doi.org/10.1155/S1025583497000131 |
| work_keys_str_mv | AT akufner weightedmodularinequalitiesformonotonefunctions AT hpheinig weightedmodularinequalitiesformonotonefunctions AT pdr225bek weightedmodularinequalitiesformonotonefunctions |