Boundedness and continuity of maximal singular integrals and maximal functions on Triebel-Lizorkin spaces
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DOI: 10.1007/s11425-017-9416-5
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… read more here.
Keywords: maximal functions; triebel lizorkin; boundedness continuity; singular integrals ... See more keywords
Boundedness and continuity of Marcinkiewicz integrals associated to homogeneous mappings on Triebel-Lizorkin spaces
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DOI: 10.1007/s11464-019-0742-3
Abstract: We establish the boundedness and continuity of parametric Marcinkiewicz integrals associated to homogeneous compound mappings on Triebel-Lizorkin spaces and Besov spaces. Here the integral kernels are provided with some rather weak size conditions on the… read more here.
Keywords: boundedness continuity; mappings triebel; marcinkiewicz integrals; associated homogeneous ... See more keywords