Norm Comparison Estimates for the Composite Operator
This paper obtains the Lipschitz and BMO norm estimates for the composite operator 𝕄s∘P applied to differential forms. Here, 𝕄s is the Hardy-Littlewood maximal operator, and P is the potential operator. As applications, we obtain the norm estimates for the Jacobian subdeterminant and the generalized...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2014/943986 |
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| _version_ | 1832549970968838144 |
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| author | Xuexin Li Yong Wang Yuming Xing |
| author_facet | Xuexin Li Yong Wang Yuming Xing |
| author_sort | Xuexin Li |
| collection | DOAJ |
| description | This paper obtains the Lipschitz and BMO norm estimates for the composite operator 𝕄s∘P applied to differential forms. Here, 𝕄s is the Hardy-Littlewood maximal operator, and P is the potential operator. As applications, we obtain the norm estimates for the Jacobian subdeterminant and the generalized solution of the quasilinear elliptic equation. |
| format | Article |
| id | doaj-art-fb37b48e96334ce8904d57c3093387bb |
| 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-fb37b48e96334ce8904d57c3093387bb2025-02-03T06:08:05ZengWileyJournal of Function Spaces2314-88962314-88882014-01-01201410.1155/2014/943986943986Norm Comparison Estimates for the Composite OperatorXuexin Li0Yong Wang1Yuming Xing2Department of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaDepartment of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaDepartment of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaThis paper obtains the Lipschitz and BMO norm estimates for the composite operator 𝕄s∘P applied to differential forms. Here, 𝕄s is the Hardy-Littlewood maximal operator, and P is the potential operator. As applications, we obtain the norm estimates for the Jacobian subdeterminant and the generalized solution of the quasilinear elliptic equation.http://dx.doi.org/10.1155/2014/943986 |
| spellingShingle | Xuexin Li Yong Wang Yuming Xing Norm Comparison Estimates for the Composite Operator Journal of Function Spaces |
| title | Norm Comparison Estimates for the Composite Operator |
| title_full | Norm Comparison Estimates for the Composite Operator |
| title_fullStr | Norm Comparison Estimates for the Composite Operator |
| title_full_unstemmed | Norm Comparison Estimates for the Composite Operator |
| title_short | Norm Comparison Estimates for the Composite Operator |
| title_sort | norm comparison estimates for the composite operator |
| url | http://dx.doi.org/10.1155/2014/943986 |
| work_keys_str_mv | AT xuexinli normcomparisonestimatesforthecompositeoperator AT yongwang normcomparisonestimatesforthecompositeoperator AT yumingxing normcomparisonestimatesforthecompositeoperator |