θ型Calderon-Zygmumd型算子及其交换子在非齐型Morrey空间中的有界性
The Boundedness of θ-Calderon-Zygmumd Operators and Its Commutators on Non-homogeneous Morrey Spaces

作者: 陈金阳 , 马柏林 :;

关键词: 非双倍测度θ型Calderon-Zygmumd型算子Morrey空间RBMO()Non-Doubling Measuresθ- Calderon-Zygmumd Operators Morrey SpaceRBMO() ??

摘要: 本文主要研究非齐型Morrey空间中的θ型Calderon-Zygmumd算子及其交换子的有界性,从而推广了已有结果。

Abstract: In this paper, the authors established the boundedness of θ-Calderon-Zygmumd operators and its commutators on Morrey spaces with non-doubling measures and extands the known results.

文章引用: 陈金阳 , 马柏林 (2011) θ型Calderon-Zygmumd型算子及其交换子在非齐型Morrey空间中的有界性。 理论数学, 1, 119-123. doi: 10.12677/pm.2011.12024

参考文献

[1] X. Tolsa. BMO, H' and - operators for non doubling measures. Mathematische Annalen, 2001, 319(1): 89- 149.

[2] A. Volberg. - capacities and operators on nonhomogeneous spaces. Conference Board of the Mathematical Sciences, 2002.

[3] J. Verdera. The fall of the doubling condition in - theory. Publicationes Mathematicae, 2002, 3: 275- 292.

[4] X. Tolsa. ’s problem and the semiadditivity of analytic capacity. Acta Mathematica, 2003, 190(2): 105-149.

[5] Y. Sawano, H. Tanalca. Morrey space for non-doubling measures. Acta Mathematica Sinica, 2005, 21(6):155-1544.

[6] Y. Sawano, H. Tanalca. Sharp maximal inequality and commutators on Morrey space with non-doubling measures. Taiwanese Journal of Mathematics, 2007, 11(4): 1091-1112.

[7] 任晓芳. 非双倍测度下的广义 - 算子. 青岛: 青岛大学, 2005.

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