一类带有变量核的积分算子在Herz型Hardy空间的有界性

A CLASS OF INTEGRAL OPERATORS WITH VARIABLE KERNELS ON THE HERZ-TYPE HARDY SPACES

本文研究了带有变量核的奇异积分与分数次积分算子.当核函数满足一类Dini型条件时,证明了 这类算子从Herz型Hardy空间到Herz空间的有界性.

In this paper, the authors study the singular and fractional integrals with variable kernel. Under some assumptions, the authors prove that such kind of operators are bounded from the Herz-type Hardy spaces to the Herz spaces.