Hörmander's HP multiplier theorem for the Heisenberg group

Chin Cheng Lin

doi:10.1112/S0024610703004150

Hörmander's H^P multiplier theorem for the Heisenberg group

Chin Cheng Lin

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

8 引文斯高帕斯（Scopus）

摘要

Let ℍⁿ denote the (2n + 1)-dimensional Heisenberg group. Given an operator-valued function M, define the operator T_M by (T_Mf)̂ = f̂M with '̂' denoting the Fourier transform. Hörmander-type sufficient conditions are determined on M for the H^p-boundedness, p ≤ 1, of the operator T_M on ℍⁿ.

原文	???core.languages.en_GB???
頁（從 - 到）	686-700
頁數	15
期刊	Journal of the London Mathematical Society
卷	67
發行號	3
DOIs	https://doi.org/10.1112/S0024610703004150
出版狀態	已出版 - 6月 2003

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10.1112/S0024610703004150

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abstract = "Let ℍn denote the (2n + 1)-dimensional Heisenberg group. Given an operator-valued function M, define the operator TM by (TMf{\^)} = {\^f}M with {\^'}' denoting the Fourier transform. H{\"o}rmander-type sufficient conditions are determined on M for the Hp-boundedness, p ≤ 1, of the operator TM on ℍn.",

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AB - Let ℍn denote the (2n + 1)-dimensional Heisenberg group. Given an operator-valued function M, define the operator TM by (TMf)̂ = f̂M with '̂' denoting the Fourier transform. Hörmander-type sufficient conditions are determined on M for the Hp-boundedness, p ≤ 1, of the operator TM on ℍn.

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M3 - 期刊論文

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Hörmander's HP multiplier theorem for the Heisenberg group

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Hörmander's H^P multiplier theorem for the Heisenberg group