一类参数型Marcinkiewicz积分的有界性

摘要

Discussions in the paper are concerned with the parameterized Marcinkiewicz integral with variable kernels of certain forms.The conclusion drawn is that the boundedness of the Marcinkiewicz integral is proved in Herz-Hardy space under the circumstance where it meets Lr,β-Dini conditions.%讨论了一类具有变量核的参数型Marcinkiewicz积分的有界性,证明了当此类Marcinkiewicz积分满足Dinni型条件时,它在Herz型Hardy空间中是有界的.