Weighted Estimates for Rough Maximal Functions with Applications to Angular Integrability
In this note we establish certain weighted estimates for a class of maximal functions with rough kernels along “polynomial curves” on Rn. As applications, we obtain the bounds of the above operators on the mixed radial-angular spaces, on the vector-valued mixed radial-angular spaces, and on the vect...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2019/4976351 |
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| _version_ | 1849685972018528256 |
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| author | Feng Liu Fangfang Xu |
| author_facet | Feng Liu Fangfang Xu |
| author_sort | Feng Liu |
| collection | DOAJ |
| description | In this note we establish certain weighted estimates for a class of maximal functions with rough kernels along “polynomial curves” on Rn. As applications, we obtain the bounds of the above operators on the mixed radial-angular spaces, on the vector-valued mixed radial-angular spaces, and on the vector-valued function spaces. Particularly, the above bounds are independent of the coefficients of the polynomials in the definition of the operators. |
| format | Article |
| id | doaj-art-bc11e1d770744953928ff3b38ee04578 |
| institution | DOAJ |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-bc11e1d770744953928ff3b38ee045782025-08-20T03:22:53ZengWileyJournal of Function Spaces2314-88962314-88882019-01-01201910.1155/2019/49763514976351Weighted Estimates for Rough Maximal Functions with Applications to Angular IntegrabilityFeng Liu0Fangfang Xu1College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, Shandong 266590, ChinaCollege of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, Shandong 266590, ChinaIn this note we establish certain weighted estimates for a class of maximal functions with rough kernels along “polynomial curves” on Rn. As applications, we obtain the bounds of the above operators on the mixed radial-angular spaces, on the vector-valued mixed radial-angular spaces, and on the vector-valued function spaces. Particularly, the above bounds are independent of the coefficients of the polynomials in the definition of the operators.http://dx.doi.org/10.1155/2019/4976351 |
| spellingShingle | Feng Liu Fangfang Xu Weighted Estimates for Rough Maximal Functions with Applications to Angular Integrability Journal of Function Spaces |
| title | Weighted Estimates for Rough Maximal Functions with Applications to Angular Integrability |
| title_full | Weighted Estimates for Rough Maximal Functions with Applications to Angular Integrability |
| title_fullStr | Weighted Estimates for Rough Maximal Functions with Applications to Angular Integrability |
| title_full_unstemmed | Weighted Estimates for Rough Maximal Functions with Applications to Angular Integrability |
| title_short | Weighted Estimates for Rough Maximal Functions with Applications to Angular Integrability |
| title_sort | weighted estimates for rough maximal functions with applications to angular integrability |
| url | http://dx.doi.org/10.1155/2019/4976351 |
| work_keys_str_mv | AT fengliu weightedestimatesforroughmaximalfunctionswithapplicationstoangularintegrability AT fangfangxu weightedestimatesforroughmaximalfunctionswithapplicationstoangularintegrability |