摘要
设Tj,1及Tj,2是具有非光滑核的奇异积分算子或者是恒等算子±I.记Toeplitz型算子为Tb=∑Nj=1Tj,1MbTj,2,其中Mbf(x)=b(x)f(x).文章研究与具有非光滑核的奇异积分相关的Toeplitz型算子Tb(f)在变指数空间上的有界性.
Let Tj.1 and Tj,2 are singular integral with non-smooth kernel, which assoeiates with an approximation N of identity or ±I ( I is the identity operator), denote the Toeplitz-type operator by Tb=N∑J=1Tj,1MbTj,2 where Mbf(x)=b(x)f(x) . In this paper, we study the boundedness of Toeplitz operator Tb (f) related to singular in- tegral operators with non-smooth kernels in variable exponent spaces.
出处
《广州大学学报(自然科学版)》
CAS
2012年第6期6-11,共6页
Journal of Guangzhou University:Natural Science Edition