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
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.
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.
|