Operator Inequalities of Morrey Spaces Associated with Karamata Regular Variation
Karamata regular variation is a basic tool in stochastic process and the boundary blow-up problems for partial differential equations (PDEs). Morrey space is closely related to study of the regularity of solutions to elliptic PDEs. The aim of this paper is trying to bring together these two areas an...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2017/4618197 |
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| _version_ | 1832556969953591296 |
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| author | Jiajia Wang Zunwei Fu Shaoguang Shi Ling Mi |
| author_facet | Jiajia Wang Zunwei Fu Shaoguang Shi Ling Mi |
| author_sort | Jiajia Wang |
| collection | DOAJ |
| description | Karamata regular variation is a basic tool in stochastic process and the boundary blow-up problems for partial differential equations (PDEs). Morrey space is closely related to study of the regularity of solutions to elliptic PDEs. The aim of this paper is trying to bring together these two areas and this paper is intended as an attempt at motivating some further research on these areas. A version of Morrey space associated with Karamata regular variation is introduced. As application, some estimates of operators, especially one-sided operators, on these spaces are considered. |
| format | Article |
| id | doaj-art-a9e81a6ecf1142bd9cc23bf5701ff9c7 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-a9e81a6ecf1142bd9cc23bf5701ff9c72025-02-03T05:44:04ZengWileyJournal of Function Spaces2314-88962314-88882017-01-01201710.1155/2017/46181974618197Operator Inequalities of Morrey Spaces Associated with Karamata Regular VariationJiajia Wang0Zunwei Fu1Shaoguang Shi2Ling Mi3School of Mathematics and Statistics, Shandong Normal University, Jinan 250014, ChinaDepartment of Mathematics, Linyi University, Linyi 276005, ChinaDepartment of Mathematics, Linyi University, Linyi 276005, ChinaDepartment of Mathematics, Linyi University, Linyi 276005, ChinaKaramata regular variation is a basic tool in stochastic process and the boundary blow-up problems for partial differential equations (PDEs). Morrey space is closely related to study of the regularity of solutions to elliptic PDEs. The aim of this paper is trying to bring together these two areas and this paper is intended as an attempt at motivating some further research on these areas. A version of Morrey space associated with Karamata regular variation is introduced. As application, some estimates of operators, especially one-sided operators, on these spaces are considered.http://dx.doi.org/10.1155/2017/4618197 |
| spellingShingle | Jiajia Wang Zunwei Fu Shaoguang Shi Ling Mi Operator Inequalities of Morrey Spaces Associated with Karamata Regular Variation Journal of Function Spaces |
| title | Operator Inequalities of Morrey Spaces Associated with Karamata Regular Variation |
| title_full | Operator Inequalities of Morrey Spaces Associated with Karamata Regular Variation |
| title_fullStr | Operator Inequalities of Morrey Spaces Associated with Karamata Regular Variation |
| title_full_unstemmed | Operator Inequalities of Morrey Spaces Associated with Karamata Regular Variation |
| title_short | Operator Inequalities of Morrey Spaces Associated with Karamata Regular Variation |
| title_sort | operator inequalities of morrey spaces associated with karamata regular variation |
| url | http://dx.doi.org/10.1155/2017/4618197 |
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