PDF(642 KB)
PDF(642 KB)
PDF(642 KB)
Heisenberg型群上的仿积算子
Paraproducts on Heisenberg Type Groups
首先给出了Heisenberg型群上一类仿积算子的定义,研究了该算子的L2→L2有界性.其次探讨了Heisenberg型群上的Calderón-Zygmund算子,包括该算子的Lp→Lp有界性, L1→L1,∞有界性以及H1→L1有界性.最后证明了仿积算子也是Calderón-Zygmund算子,同时还证明了仿积算子的一些其它重要性质.
We define a class of paraproducts on Heisenberg type groups. We prove they have L2 boundedness. We also study Calderón-Zygmund operators, and prove they are bounded operators which map Lp to Lp, L1 to L1,∞ and H1 to L1. Then we prove the paraproducts are also Calderón-Zygmund operators and they also satisfy two important properties that Pb1=b and Pbt(1)=0 in the sense of distribution.
Heisenberg型群 / 仿积 / Calderó / n-Zygmund算子 {{custom_keyword}} /
Heisenberg-type groups / paraproducts / Calderón-Zygmund operators {{custom_keyword}} /
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国家自然科学基金资助项目(11471040);中央高校基本科研业务费专项资金(2014KJJCA10)
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