Higher Integrability of the Composite Operator T D G for Differential Forms
We firstly prove the higher integrability of the composite operator T D G by using Poincaré-Sobolev inequalities when 1< p < n. Then further consider the case of p ≥ n and obtain the higher order norm estimation of composite operators, by which the weighted norm inequality for Lp integrab...
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| Format: | Article |
| Language: | zho |
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Harbin University of Science and Technology Publications
2023-06-01
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| Series: | Journal of Harbin University of Science and Technology |
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| Online Access: | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=2225 |
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| _version_ | 1850105670799458304 |
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| author | ZHAO Pengfei BI Shujuan LIU Zhenjie |
| author_facet | ZHAO Pengfei BI Shujuan LIU Zhenjie |
| author_sort | ZHAO Pengfei |
| collection | DOAJ |
| description |
We firstly prove the higher integrability of the composite operator T D G by using Poincaré-Sobolev inequalities when 1< p < n. Then further consider the case of p ≥ n and obtain the higher order norm estimation of composite operators, by which the weighted norm inequality for Lp integrable differential forms is proved. |
| format | Article |
| id | doaj-art-99bafee3cdbf49f0bfea12b7865fad8e |
| institution | OA Journals |
| issn | 1007-2683 |
| language | zho |
| publishDate | 2023-06-01 |
| publisher | Harbin University of Science and Technology Publications |
| record_format | Article |
| series | Journal of Harbin University of Science and Technology |
| spelling | doaj-art-99bafee3cdbf49f0bfea12b7865fad8e2025-08-20T02:39:01ZzhoHarbin University of Science and Technology PublicationsJournal of Harbin University of Science and Technology1007-26832023-06-01280314414810.15938/j.jhust.2023.03.018Higher Integrability of the Composite Operator T D G for Differential FormsZHAO Pengfei0BI Shujuan1LIU Zhenjie2School of Information Engineering, Harbin University, Harbin 150080, ChinaSchool of Information Engineering, Harbin University, Harbin 150080, ChinaSchool of Information Engineering, Harbin University, Harbin 150080, China We firstly prove the higher integrability of the composite operator T D G by using Poincaré-Sobolev inequalities when 1< p < n. Then further consider the case of p ≥ n and obtain the higher order norm estimation of composite operators, by which the weighted norm inequality for Lp integrable differential forms is proved.https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=2225the composite operatorhigher integrabilitydifferential forms |
| spellingShingle | ZHAO Pengfei BI Shujuan LIU Zhenjie Higher Integrability of the Composite Operator T D G for Differential Forms Journal of Harbin University of Science and Technology the composite operator higher integrability differential forms |
| title | Higher Integrability of the Composite Operator T D G for Differential Forms |
| title_full | Higher Integrability of the Composite Operator T D G for Differential Forms |
| title_fullStr | Higher Integrability of the Composite Operator T D G for Differential Forms |
| title_full_unstemmed | Higher Integrability of the Composite Operator T D G for Differential Forms |
| title_short | Higher Integrability of the Composite Operator T D G for Differential Forms |
| title_sort | higher integrability of the composite operator t d g for differential forms |
| topic | the composite operator higher integrability differential forms |
| url | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=2225 |
| work_keys_str_mv | AT zhaopengfei higherintegrabilityofthecompositeoperatortdgfordifferentialforms AT bishujuan higherintegrabilityofthecompositeoperatortdgfordifferentialforms AT liuzhenjie higherintegrabilityofthecompositeoperatortdgfordifferentialforms |