Some Properties of Marcinkiewicz Integral on Herz-type Hardy Spaces

Chinese Quarterly Journal of Mathematics ›› 2001, Vol. 16 ›› Issue (4): 88-93.

Some Properties of Marcinkiewicz Integral on Herz-type Hardy Spaces

焦作大学基础部焦作大学基础部河南焦作454003

Received:2000-12-14 Online:2001-12-30 Published:2024-05-29
About author:WANG Wei-min（1946－）,male,native of Shanghai,an associate professor of Jiaozuo University,engages in harmonic analysis；WANG Yue-shan（1962－）,male,native of Jiaozuo,Henan,an associate professor of Jiaozuo University ,M．S．D．,engages in harmonic analysis．

Abstract

Abstract: 给出了Marcinkiewicz积分在Herz型Hardy空间上的有界性证明。即当n(1 - 1/q) ≤α <n(1 - 1/q) +β时 ,μΩ(f) (x)是从HK^α,p_q (Rⁿ)到K^α,p_q (Rⁿ)中有界的 ;当α =n(1 - 1/q) +β时 ,μΩ(f) (x)是从HK^α,p_qq (Rn)到WK^α,p_q (Rⁿ)有界的。

Key words: , Marcinkiewicz积分, Herz空间, 弱Herz空间, Herz型Hardy空间, ,

CLC Number:

O174.2

WANG We-i min, WANG Yue-shan. Some Properties of Marcinkiewicz Integral on Herz-type Hardy Spaces [J]. Chinese Quarterly Journal of Mathematics, 2001, 16(4): 88-93.

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Some Properties of Marcinkiewicz Integral on Herz-type Hardy Spaces

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