海森堡型群上的 Qr1,r2函数空间
The Qr1,r2 Spaces on the H-Type Groups
摘要: 函数空间理论在调和分析中有着十分重要的作用。本文研究海森堡型群N上的双指标Q型函数空间Qr1,r2(N)。在Siegel型上半空间N×R+上利用Carleson测度给出Qr1,r2(N)的等价刻画，并且给出了Qr1,r2(N)与BMOβ(N)的嵌入关系。
Abstract: Function spaces play an important role in harmonic analysis. In this paper, we study the Q-type space Qr1,r2(N) on the H-type group N. We show the characterization of Qr1,r2(N) by the Carleson measure on the Siegel type domain N×R+. Furthermore, the embedding result between Qr1,r2(N) and BMOβ(N) is founded.
文章引用：周珊, 黄小青, 董建锋. 海森堡型群上的 Qr1,r2函数空间[J]. 理论数学, 2021, 11(4): 676-684. https://doi.org/10.12677/PM.2021.114082

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