与非光滑半群相伴的加权Hardy和BMO空间
Weighted Hardy and BMO Spaces Associated with Semigroup with Non-smooth Kernel
摘要
该文给出与非光滑核有关的半群所刻画的加权Hardy空间与BMO空间,讨论了它们的性质与对偶性.
In the paper the author gives weighted Hardy spaces and BMO spaces associated with semigroup with non-smooth kernel, then gives their properties and duality arguments.
出处
《数学物理学报(A辑)》
CSCD
北大核心
2009年第6期1580-1589,共10页
Acta Mathematica Scientia
基金
暨南大学青年基金资助
参考文献14
-
1Aronson D. Bounds for fundamental solutions of a parabolic equation. Bull Amer Math Soc, 1967, 73: 890-896.
-
2Shen Z W. On fundamental solution of generalized SchSdinger operators. J Funct Anal, 1999, 167:521-564.
-
3Auscher P, Tchamitchian P. Square root problem for divergence operators and related topics. Asterisque, 1998, 249.
-
4Duong X T, Macintosh Alan. Singular integral operators with non-smooth kernels on irregular domains. Rev Mat Iberoamericana, 1999, 15(2): 233-265.
-
5Stein E M. Singular Integrals and Differentiability Properties of Functions. Princenton: Princeton Univ Press, 1970.
-
6Dziubafiski J, Garrigos G, Martfnez T, Torrea J, Zienkiewicz J. BMO spaces related to Schrodinger operators with potentials satisfying a reverse Holder inequality. Math Z, 2005, 249:329-356.
-
7Duong X T, Yan L X. Duality of Hardy and BMO spaces associated with operators with heat kernel bounds. Amer J Math, 2005, 18:943-973.
-
8Duong X T, Yan L X. New function spaces of BMO type, John-Nirenberg inequality, interpolation and applications. Comrn Pure Appl Math, 2005, 58:1375- 1420.
-
9Stromberg J, Torkinsky A. Weighted Hardy Spaces. Lecture Notes in Math. Berlin, New York: Springer- Verlag, 1989, 1381.
-
10Coifman R, Meyer Y, Stein E M. Some new function spaces and their applications to harmonic analysis. J Funct Anal, 1985, 62:304-335.
-
1邓冠铁.半平面中解析函数的零点[J].数学物理学报(A辑),2006,26(1):45-48. 被引量:1
-
2吴丛明,杨大春.关于多线性振荡奇异积分在加权Hardy-型空间上的一致估计[J].数学进展,2002,31(6):527-536. 被引量:2
-
3郑庆玉,张蕾.一类加权Hardy-Steklov平均算子的有界性[J].山东大学学报(理学版),2011,46(6):41-44.
-
4俞曼.一类局部紧的全不连通群上的加权Hardy-Bessel位势空间[J].南京师大学报(自然科学版),2001,24(3):17-20.