A Remark Related Pseudo-Differential Operators on Multi-Parameter Besov-Lipschitz and Triebel-Lizorkin Spaces
Let a symbol σx,ξ belongs to the class S1,1,δ1,δ20,0 with x,ξ∈ℝn1×ℝn2 and 0≤δ1,δ2<1. This paper mainly establish the boundedness of the class of all bi-parameter pseudo-differential operators associated with the symbol σx,ξ on the multi-parameter non-homogeneous Besov-Lipschitz and Triebel-Lizork...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/7953457 |
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| _version_ | 1849398149258412032 |
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| author | Chengdan Xu |
| author_facet | Chengdan Xu |
| author_sort | Chengdan Xu |
| collection | DOAJ |
| description | Let a symbol σx,ξ belongs to the class S1,1,δ1,δ20,0 with x,ξ∈ℝn1×ℝn2 and 0≤δ1,δ2<1. This paper mainly establish the boundedness of the class of all bi-parameter pseudo-differential operators associated with the symbol σx,ξ on the multi-parameter non-homogeneous Besov-Lipschitz and Triebel-Lizorkin spaces. |
| format | Article |
| id | doaj-art-9e5d17aef803403b9d4f35a185921630 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-9e5d17aef803403b9d4f35a1859216302025-08-20T03:38:43ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/7953457A Remark Related Pseudo-Differential Operators on Multi-Parameter Besov-Lipschitz and Triebel-Lizorkin SpacesChengdan Xu0School of SciencesLet a symbol σx,ξ belongs to the class S1,1,δ1,δ20,0 with x,ξ∈ℝn1×ℝn2 and 0≤δ1,δ2<1. This paper mainly establish the boundedness of the class of all bi-parameter pseudo-differential operators associated with the symbol σx,ξ on the multi-parameter non-homogeneous Besov-Lipschitz and Triebel-Lizorkin spaces.http://dx.doi.org/10.1155/2022/7953457 |
| spellingShingle | Chengdan Xu A Remark Related Pseudo-Differential Operators on Multi-Parameter Besov-Lipschitz and Triebel-Lizorkin Spaces Journal of Function Spaces |
| title | A Remark Related Pseudo-Differential Operators on Multi-Parameter Besov-Lipschitz and Triebel-Lizorkin Spaces |
| title_full | A Remark Related Pseudo-Differential Operators on Multi-Parameter Besov-Lipschitz and Triebel-Lizorkin Spaces |
| title_fullStr | A Remark Related Pseudo-Differential Operators on Multi-Parameter Besov-Lipschitz and Triebel-Lizorkin Spaces |
| title_full_unstemmed | A Remark Related Pseudo-Differential Operators on Multi-Parameter Besov-Lipschitz and Triebel-Lizorkin Spaces |
| title_short | A Remark Related Pseudo-Differential Operators on Multi-Parameter Besov-Lipschitz and Triebel-Lizorkin Spaces |
| title_sort | remark related pseudo differential operators on multi parameter besov lipschitz and triebel lizorkin spaces |
| url | http://dx.doi.org/10.1155/2022/7953457 |
| work_keys_str_mv | AT chengdanxu aremarkrelatedpseudodifferentialoperatorsonmultiparameterbesovlipschitzandtriebellizorkinspaces AT chengdanxu remarkrelatedpseudodifferentialoperatorsonmultiparameterbesovlipschitzandtriebellizorkinspaces |