Sharp Bounds for Fractional Conjugate Hardy Operator on Higher-Dimensional Product Spaces
In this paper, we obtain the sharp bound for fractional conjugate Hardy operator on higher-dimensional product spaces from L1ℝn1×⋯×ℝnm to the space wLQℝn1×⋯×ℝnm and Lpℝn1×⋯×ℝnm to the space Lqℝn1×⋯×ℝnm. More generally, the operator norm of the fractional Hardy operator on higher-dimensional product...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/5064156 |
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| _version_ | 1832568605370220544 |
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| author | Zequn Wang Mingquan Wei Qianjun He Dunyan Yan |
| author_facet | Zequn Wang Mingquan Wei Qianjun He Dunyan Yan |
| author_sort | Zequn Wang |
| collection | DOAJ |
| description | In this paper, we obtain the sharp bound for fractional conjugate Hardy operator on higher-dimensional product spaces from L1ℝn1×⋯×ℝnm to the space wLQℝn1×⋯×ℝnm and Lpℝn1×⋯×ℝnm to the space Lqℝn1×⋯×ℝnm. More generally, the operator norm of the fractional Hardy operator on higher-dimensional product spaces from LPℝn1×⋯×ℝnm to LQIℝn1×⋯×ℝnm is obtained. |
| format | Article |
| id | doaj-art-e267bc0bf5714eef90db825fe96520a4 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-e267bc0bf5714eef90db825fe96520a42025-02-03T00:58:48ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/50641565064156Sharp Bounds for Fractional Conjugate Hardy Operator on Higher-Dimensional Product SpacesZequn Wang0Mingquan Wei1Qianjun He2Dunyan Yan3School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, ChinaSchool of Mathematics and Statistics, Xinyang Normal University, Xinyang 464000, Henan, ChinaSchool of Applied Science, Beijing Information Science and Technology University, Beijing 100192, ChinaSchool of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, ChinaIn this paper, we obtain the sharp bound for fractional conjugate Hardy operator on higher-dimensional product spaces from L1ℝn1×⋯×ℝnm to the space wLQℝn1×⋯×ℝnm and Lpℝn1×⋯×ℝnm to the space Lqℝn1×⋯×ℝnm. More generally, the operator norm of the fractional Hardy operator on higher-dimensional product spaces from LPℝn1×⋯×ℝnm to LQIℝn1×⋯×ℝnm is obtained.http://dx.doi.org/10.1155/2020/5064156 |
| spellingShingle | Zequn Wang Mingquan Wei Qianjun He Dunyan Yan Sharp Bounds for Fractional Conjugate Hardy Operator on Higher-Dimensional Product Spaces Journal of Function Spaces |
| title | Sharp Bounds for Fractional Conjugate Hardy Operator on Higher-Dimensional Product Spaces |
| title_full | Sharp Bounds for Fractional Conjugate Hardy Operator on Higher-Dimensional Product Spaces |
| title_fullStr | Sharp Bounds for Fractional Conjugate Hardy Operator on Higher-Dimensional Product Spaces |
| title_full_unstemmed | Sharp Bounds for Fractional Conjugate Hardy Operator on Higher-Dimensional Product Spaces |
| title_short | Sharp Bounds for Fractional Conjugate Hardy Operator on Higher-Dimensional Product Spaces |
| title_sort | sharp bounds for fractional conjugate hardy operator on higher dimensional product spaces |
| url | http://dx.doi.org/10.1155/2020/5064156 |
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