Marcinkiewicz积分在加权Herz空间上的有界性

数学季刊 ›› 2008, Vol. 23 ›› Issue (2): 228-234.

Marcinkiewicz积分在加权Herz空间上的有界性

1. College of Mathematics and Computer Science,Anhui Normal University 2. College of Mathematics and Computer Science, Anhui Normal University

收稿日期:2006-01-12 出版日期:2008-06-30 发布日期:2023-10-07
作者简介: XIE Ru-long(1982-), male, native of Huaining, Anhui, M.S.D., engages in harmonic analysis; SHU Li-sheng(1955-), male, native of Shucheng, Anhui, a professor of Anhui Normal University, Ph.D., engages in harmonic analysis.
基金资助:
Supported by NSF of China(10371087); Supported by the NSF of Education Committee
of Anhui Province(KJ2007A009); Supported by the NSF of Anhui Province(07021019)

Boundedness of Marcinkiewicz Integral on Weighted Herz Spaces

Received:2006-01-12 Online:2008-06-30 Published:2023-10-07
About author: XIE Ru-long(1982-), male, native of Huaining, Anhui, M.S.D., engages in harmonic analysis; SHU Li-sheng(1955-), male, native of Shucheng, Anhui, a professor of Anhui Normal University, Ph.D., engages in harmonic analysis.
Supported by:
Supported by NSF of China(10371087); Supported by the NSF of Education Committee
of Anhui Province(KJ2007A009); Supported by the NSF of Anhui Province(07021019)

摘要/Abstract

摘要： In this paper, it is proved that the Marcinkiewicz integral operator μΩ is bounded on K_q^α,p(ω₁;ω₂).

关键词: Marcinkiewicz integral, weighted Herz space, A1 weight

Abstract: In this paper, it is proved that the Marcinkiewicz integral operator μΩ is bounded on K_q^α,p(ω₁;ω₂).

Key words: Marcinkiewicz integral, weighted Herz space, A1 weight

中图分类号:

O174.2

谢如龙, 束立生. Marcinkiewicz积分在加权Herz空间上的有界性[J]. 数学季刊, 2008, 23(2): 228-234.

XIE Ru-long, SHU Li-sheng. Boundedness of Marcinkiewicz Integral on Weighted Herz Spaces [J]. Chinese Quarterly Journal of Mathematics, 2008, 23(2): 228-234.

Marcinkiewicz积分在加权Herz空间上的有界性

Boundedness of Marcinkiewicz Integral on Weighted Herz Spaces

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