Boundedness of Marcinkiewicz integral with rough kernel on Triebel-Lizorkin spaces

Boundedness of Marcinkiewicz integral with rough kernel on Triebel-Lizorkin spaces

This paper is a continuation of our previous work （Zhang and Chen, 2010b）. Following the same generalsteps 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...

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Veröffentlicht in:Frontiers of information technology & electronic engineering 2015-08, Vol.16 (8), p.654-657
Hauptverfasser: Zhang, Chun-jie, Ren, Fang-fang, Zhang, Yu-huai, Gao, Gui-lian
Format: Artikel
Sprache:eng
Schlagworte:
Communications Engineering
Computer Hardware
Computer Science
Computer Systems Organization and Communication Networks
Electrical Engineering
Electronic engineering
Electronics and Microelectronics
Inequalities
Information technology
Instrumentation
Integrals
Kernels
Networks
Proving
Theorems
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Beschreibung
Zusammenfassung:This paper is a continuation of our previous work （Zhang and Chen, 2010b）. Following the same generalsteps 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.
ISSN:2095-9184
2095-9230
DOI:10.1631/FITEE.1500082