赵爱华, 何建勋, 范兴亚. 各向异性的Carleson测度空间[J]. 华南师范大学学报(自然科学版), 2018, 50(6): 100-103. doi: 10.6054/j.jscnun.2018124
引用本文: 赵爱华, 何建勋, 范兴亚. 各向异性的Carleson测度空间[J]. 华南师范大学学报(自然科学版), 2018, 50(6): 100-103. doi: 10.6054/j.jscnun.2018124
ZHAO A H, HE J X, FAN X Y. Anisotropic Carleson Measure Spaces[J]. Journal of South China Normal University (Natural Science Edition), 2018, 50(6): 100-103. doi: 10.6054/j.jscnun.2018124
Citation: ZHAO A H, HE J X, FAN X Y. Anisotropic Carleson Measure Spaces[J]. Journal of South China Normal University (Natural Science Edition), 2018, 50(6): 100-103. doi: 10.6054/j.jscnun.2018124

各向异性的Carleson测度空间

Anisotropic Carleson Measure Spaces

  • 摘要: 本文通过各向异性的面积函数引进了各向异性的帐篷空间, 得到了它的原子分解. 另外, 本文也引进了各向异性的BMO空间, 此空间是各向异性Hardy空间的对偶空间. 作为各向异性帐篷空间的原子分解的应用, 本文得到了BMO的各向异性Carleson测度特征.

     

    Abstract: In this paper, we introduce an anisotropic tent space via anisotropic square-type function and obtain the decomposition of atomic. Moreover, we also introduce the anisotropic BMO spaces, and find the dual spaces of anisotropic Hardy spaces. In addition, the anisotropic Carleson measure characterization of BMO is acquired by using the anisotropic atomic decomposition of anisotropic tent space.

     

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