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Boundedness and continuity of maximal singular integrals and maximal functions on Triebel-Lizorkin spaces - MaRDI portal

Boundedness and continuity of maximal singular integrals and maximal functions on Triebel-Lizorkin spaces (Q2197825)

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Boundedness and continuity of maximal singular integrals and maximal functions on Triebel-Lizorkin spaces
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    Boundedness and continuity of maximal singular integrals and maximal functions on Triebel-Lizorkin spaces (English)
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    1 September 2020
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    In this paper, the authors systematically studied several classes of maximal singular integrals and maximal functions with rough kernels in \(\mathscr{F}_{\beta}(S^{n-1})\), 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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    maximal singular integrals
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    maximal functions
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    \(\mathscr{F}_{\beta}\left(S^{n-1}\right)\)
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    Triebel-Lizorkin spaces
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    Besov spaces
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