Boundedness and continuity of maximal singular integrals and maximal functions on Triebel-Lizorkin spaces
Science China Mathematics（2020）
摘要
In this paper, we systematically study several classes of maximal singular integrals and maximal functions with rough kernels in ℱ_β(S^n-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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\begin{document}$$\mathscr{F}_{\beta}\left(\mathrm{S}^{n-1}\right)$$\end{document}
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