Heisenberg群上一类算子的有界性

Boundedness of Some Operators on the Heisenberg Group

设 F是λ阶正则的齐次分布,-Q≤λ<0。作者研究了Heisenberg群上的算子g*F在加幂权的Lebesgue空间和Herz型 Hardy空间上的有界性,其中 g是一恰当的函数。而且,本文还得到了由BMO(H^n)函数和线性算子T所生成的交换子[b,T]在Herz空间上的有界性。

Let F be a regular homogeneous distribution of degree λ,-Q≤λ<0. We study the boundedness of operators g * F on Lebesgue spaces with power weight and Herz-type Hardy spaces, where g is a suitable function. Moreover, the bounded- ness properties of some commutators [b, T] on Herz spaces are proved, where [b, T] is generated by b ∈ BMO(H^n) and T is a linear operator.