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CLC number: O174.5
On-line Access: 2015-08-04
Received: 2015-03-18
Revision Accepted: 2015-06-01
Crosschecked: 2015-07-08
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Boundedness of Marcinkiewicz integral with rough kernel on Triebel-Lizorkin spaces
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Chun-jie Zhang, Fang-fang Ren, Yu-huai Zhang, Gui-lian Gao. Boundedness of Marcinkiewicz integral with rough kernel on Triebel-Lizorkin spaces[J]. Frontiers of Information Technology & Electronic Engineering, 2015, 16(8): 654-657.
@article{title="Boundedness of Marcinkiewicz integral with rough kernel on Triebel-Lizorkin spaces",
author="Chun-jie Zhang, Fang-fang Ren, Yu-huai Zhang, Gui-lian Gao",
journal="Frontiers of Information Technology & Electronic Engineering",
volume="16",
number="8",
pages="654-657",
year="2015",
publisher="Zhejiang University Press & Springer",
doi="10.1631/FITEE.1500082"
}
%0 Journal Article
%T Boundedness of Marcinkiewicz integral with rough kernel on Triebel-Lizorkin spaces
%A Chun-jie Zhang
%A Fang-fang Ren
%A Yu-huai Zhang
%A Gui-lian Gao
%J Frontiers of Information Technology & Electronic Engineering
%V 16
%N 8
%P 654-657
%@ 2095-9184
%D 2015
%I Zhejiang University Press & Springer
%DOI 10.1631/FITEE.1500082
TY - JOUR
T1 - Boundedness of Marcinkiewicz integral with rough kernel on Triebel-Lizorkin spaces
A1 - Chun-jie Zhang
A1 - Fang-fang Ren
A1 - Yu-huai Zhang
A1 - Gui-lian Gao
J0 - Frontiers of Information Technology & Electronic Engineering
VL - 16
IS - 8
SP - 654
EP - 657
%@ 2095-9184
Y1 - 2015
PB - Zhejiang University Press & Springer
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DOI - 10.1631/FITEE.1500082
Abstract: This paper is a continuation of our previous work (Zhang and Chen, 2010b). Following the same general steps of the proof there, we make essential improvement on our previous theorem by recalculating a key inequality. Our result shows that the marcinkiewicz integral, with a bounded radial function in its kernel, is still bounded on the Triebel-Lizorkin space.
The paper studies the boundedness of Marcinkiewicz integral on Triebel-Lizorkin spaces, it is new and interesting in harmonic analysis.
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