A FUNCTIONAL CALCULUS AND RESTRICTION THEOREM ON H-TYPE GROUPS | |
Liu, Heping ; Song, Manli | |
2017 | |
关键词 | H-type group scaled special Hermite expansion joint functional calculus restriction operator HEISENBERG-GROUP METIVIER GROUPS |
英文摘要 | Let L be the sublaplacian and T the partial laplacian with respect to central variables on H-type groups. We investigate a class of invariant differential operators by the joint functional calculus of L and T. We establish Stein-Tomas type restriction theorems for these operators. In particular, the asymptotic behaviors of restriction estimates are given.; National Natural Science Foundation of China [11371036]; Specialized Research Fund for the Doctoral Program of Higher Education of China [2012000110059]; China Scholarship Council [201206010098]; Fundamental Research Funds for the Central Universities [3102015ZY068]; SCI(E); ARTICLE; 2; 291-305; 286 |
语种 | 英语 |
出处 | SCI |
出版者 | PACIFIC JOURNAL OF MATHEMATICS |
内容类型 | 其他 |
源URL | [http://hdl.handle.net/20.500.11897/475516] |
专题 | 数学科学学院 |
推荐引用方式 GB/T 7714 | Liu, Heping,Song, Manli. A FUNCTIONAL CALCULUS AND RESTRICTION THEOREM ON H-TYPE GROUPS. 2017-01-01. |
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