Variable Exponent Function Spaces related to a Sublinear Expectation
In this paper, variable exponent function spaces Lp·, Lbp·, and Lcp· are introduced in the framework of sublinear expectation, and some basic and important properties of these spaces are given. A version of Kolmogorov’s criterion on variable exponent function spaces is proved for continuous modifica...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2020/1734174 |
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| _version_ | 1832562891434229760 |
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| author | Bochi Xu |
| author_facet | Bochi Xu |
| author_sort | Bochi Xu |
| collection | DOAJ |
| description | In this paper, variable exponent function spaces Lp·, Lbp·, and Lcp· are introduced in the framework of sublinear expectation, and some basic and important properties of these spaces are given. A version of Kolmogorov’s criterion on variable exponent function spaces is proved for continuous modification of stochastic processes. |
| format | Article |
| id | doaj-art-96ecc02f69c248fabb08c193c5233305 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-96ecc02f69c248fabb08c193c52333052025-02-03T01:21:34ZengWileyAbstract and Applied Analysis1085-33751687-04092020-01-01202010.1155/2020/17341741734174Variable Exponent Function Spaces related to a Sublinear ExpectationBochi Xu0Department of Mathematics, Huaqiao University, Quanzhou 362021, ChinaIn this paper, variable exponent function spaces Lp·, Lbp·, and Lcp· are introduced in the framework of sublinear expectation, and some basic and important properties of these spaces are given. A version of Kolmogorov’s criterion on variable exponent function spaces is proved for continuous modification of stochastic processes.http://dx.doi.org/10.1155/2020/1734174 |
| spellingShingle | Bochi Xu Variable Exponent Function Spaces related to a Sublinear Expectation Abstract and Applied Analysis |
| title | Variable Exponent Function Spaces related to a Sublinear Expectation |
| title_full | Variable Exponent Function Spaces related to a Sublinear Expectation |
| title_fullStr | Variable Exponent Function Spaces related to a Sublinear Expectation |
| title_full_unstemmed | Variable Exponent Function Spaces related to a Sublinear Expectation |
| title_short | Variable Exponent Function Spaces related to a Sublinear Expectation |
| title_sort | variable exponent function spaces related to a sublinear expectation |
| url | http://dx.doi.org/10.1155/2020/1734174 |
| work_keys_str_mv | AT bochixu variableexponentfunctionspacesrelatedtoasublinearexpectation |