【摘要】 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。更多还原

【Abstract】 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 weightand 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] isgenerated by b ∈ BMO(H~n) and T is a linear operator.更多还原