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In this paper, we systematically study several classes of maximal singular integrals and maximal functions with rough kernels in $$\mathscr{F}_{\beta}\left(\mathrm{S}^{n-1}\right)$$ ℱ β ( S n − 1 ) , a… Click to show full abstract
In this paper, we systematically study several classes of maximal singular integrals and maximal functions with rough kernels in $$\mathscr{F}_{\beta}\left(\mathrm{S}^{n-1}\right)$$ 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.
Keywords:
maximal functions;
triebel lizorkin;
boundedness continuity;
singular integrals;
integrals maximal;
maximal singular
Journal Title: Science China Mathematics
Year Published: 2020
Link to full text (if available)
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Journal Title: Science China Mathematics
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!