Journal
SCIENCE CHINA-MATHEMATICS
Volume 63, Issue 5, Pages 907-936Publisher
SCIENCE PRESS
DOI: 10.1007/s11425-017-9416-5
Keywords
maximal singular integrals; maximal functions; F-beta(Sn-1); Triebel-Lizorkin spaces; Besov spaces
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Funding
- National Natural Science Foundation of China [11701333, 11471041, 11671039]
- Support Program for Outstanding Young Scientific and Technological Top-Notch Talents of College of Mathematics and Systems Science [Sxy2016K01]
- National Natural Science Foundation of China-Deutsche Forschungsgemeinschaft [11761131002]
- Japan Society for the Promotion of Science [15K04942]
- Grants-in-Aid for Scientific Research [15K04942] Funding Source: KAKEN
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In this paper, we systematically study several classes of maximal singular integrals and maximal functions with rough kernels in F beta(Sn-1)\, a topic that relates to the Grafakos-Stefanov class. The boundedness and continuity of these operators on Triebel-Lizorkin spaces and Besov spaces are discussed.
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