Operators Related to Truncated Hilbert Transforms on H1

被引：3
|
作者：
Liu, Hong Hai [1 ]
机构：
[1] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454003, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2017年 / 33卷 / 07期
关键词：
Variation operator; oscillation operator; lambda-jump operator; the Hilbert transform; Hardy space; P-VARIATION; INEQUALITIES;
D O I：
10.1007/s10114-017-5788-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we give counterexamples to show that variation and oscillation operators related to rough truncations of the Hilbert transform are not bounded from H-1 to L-1, and prove variation, oscillation and lambda-jump operators related to smooth truncations are bounded from H-1 to L-1.
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页码：1011 / 1020
页数：10
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