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2015, Volume 16, Issue 8

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Frontiers of Information Technology & Electronic Engineering >> 2015, Volume 16, Issue 8 doi: 10.1631/FITEE.1500082

Boundedness of Marcinkiewicz integralwith rough kernel onTriebel-Lizorkin spaces

Department of Mathematics, Hangzhou Dianzi University, Hangzhou 310016, China

Available online: 2015-09-08
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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.

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