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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Project supported by the National Natural Science Foundation of China (Nos. 11201103 and 11471288)
ORCID: Chun-jie ZHANG, http://orcid.org/0000-0002-5712-8764
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Zhang, Cj., Ren, Ff., Zhang, Yh. et al. Boundedness of Marcinkiewicz integral with rough kernel on Triebel-Lizorkin spaces. Frontiers Inf Technol Electronic Eng 16, 654–657 (2015). https://doi.org/10.1631/FITEE.1500082
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DOI: https://doi.org/10.1631/FITEE.1500082