WEIGHTED ESTIMATES FOR SINGULAR INTEGRAL OPERATORS WITH NONSMOOTH KERNELS AND APPLICATIONS

Journal of the Australian Mathematical Society

GUOEN HU¹ 

[1] DACHUN YANG

关键词: primary 42B20;    secondary 47B47;    42B25;    47A30;    43A99;   

DOI  :  10.1017/S1446788708000657

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

Let 𝒳 be a space of homogeneous type in the sense of Coifman and Weiss. In this paper, two weighted estimates related toweights are established for singular integral operators with nonsmooth kernels via a new sharp maximal operator associated with a generalized approximation to the identity. As applications, the weighted Lp(𝒳) and weighted endpoint estimates with general weights are obtained for singular integral operators with nonsmooth kernels, their commutators with BMO (𝒳) functions, and associated maximal operators. Some applications to holomorphic functional calculi of elliptic operators and Schrödinger operators are also presented.

【 授权许可】

Unknown