Fractional Operators in p-adic Variable Exponent Lebesgue Spaces and Application to p-adic Derivative
In this paper, we prove the boundedness of the fractional maximal and the fractional integral operator in the p-adic variable exponent Lebesgue spaces. As an application, we show the existence and uniqueness of the solution for a nonhomogeneous Cauchy problem in the p-adic variable exponent Lebesgue...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/3096701 |
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| _version_ | 1832546095355396096 |
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| author | Leonardo Fabio Chacón-Cortés Humberto Rafeiro |
| author_facet | Leonardo Fabio Chacón-Cortés Humberto Rafeiro |
| author_sort | Leonardo Fabio Chacón-Cortés |
| collection | DOAJ |
| description | In this paper, we prove the boundedness of the fractional maximal and the fractional integral operator in the p-adic variable exponent Lebesgue spaces. As an application, we show the existence and uniqueness of the solution for a nonhomogeneous Cauchy problem in the p-adic variable exponent Lebesgue spaces. |
| format | Article |
| id | doaj-art-e30c164f18cb4dbda9c89211e5d52a95 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-e30c164f18cb4dbda9c89211e5d52a952025-02-03T07:23:53ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/30967013096701Fractional Operators in p-adic Variable Exponent Lebesgue Spaces and Application to p-adic DerivativeLeonardo Fabio Chacón-Cortés0Humberto Rafeiro1Departamento de Matemáticas, Facultad de Ciencias, Pontificia Universidad Javeriana, Cra. 7 No. 43-82, Bogotá, ColombiaDepartment of Mathematical Sciences, United Arab Emirates University, P.O. Box 15551, Al Ain, UAEIn this paper, we prove the boundedness of the fractional maximal and the fractional integral operator in the p-adic variable exponent Lebesgue spaces. As an application, we show the existence and uniqueness of the solution for a nonhomogeneous Cauchy problem in the p-adic variable exponent Lebesgue spaces.http://dx.doi.org/10.1155/2021/3096701 |
| spellingShingle | Leonardo Fabio Chacón-Cortés Humberto Rafeiro Fractional Operators in p-adic Variable Exponent Lebesgue Spaces and Application to p-adic Derivative Journal of Function Spaces |
| title | Fractional Operators in p-adic Variable Exponent Lebesgue Spaces and Application to p-adic Derivative |
| title_full | Fractional Operators in p-adic Variable Exponent Lebesgue Spaces and Application to p-adic Derivative |
| title_fullStr | Fractional Operators in p-adic Variable Exponent Lebesgue Spaces and Application to p-adic Derivative |
| title_full_unstemmed | Fractional Operators in p-adic Variable Exponent Lebesgue Spaces and Application to p-adic Derivative |
| title_short | Fractional Operators in p-adic Variable Exponent Lebesgue Spaces and Application to p-adic Derivative |
| title_sort | fractional operators in p adic variable exponent lebesgue spaces and application to p adic derivative |
| url | http://dx.doi.org/10.1155/2021/3096701 |
| work_keys_str_mv | AT leonardofabiochaconcortes fractionaloperatorsinpadicvariableexponentlebesguespacesandapplicationtopadicderivative AT humbertorafeiro fractionaloperatorsinpadicvariableexponentlebesguespacesandapplicationtopadicderivative |