各向异性的Carleson测度空间

基金项目:

国家自然科学基金资助项目

详细信息

Anisotropic Carleson Measure Spaces

1.
1. Urumqi Education Research Center,Urumqi 830002,China
2.
2. School of Mathematics and Information Sciences,Guangzhou University,Guangzhou,China

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.
- Carleson测度
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.
- Carleson measure