On the Commutators of Marcinkiewicz Integrals with Rough Kernels in Weighted Lebesgue Spaces
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DOI: 10.1007/s10476-020-0053-7
Abstract: This paper is devoted to studying the boundedness and compactness of commutators for Marcinkiewicz integrals with rough kernels in weighted Lebesgue spaces. The characterized theorems on the boundedness and compactness for such commutators are established,… read more here.
Keywords: kernels weighted; weighted lebesgue; marcinkiewicz integrals; integrals rough ... 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
Inequalities for generalized parametric Marcinkiewicz integrals along polynomial compound curves
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DOI: 10.7153/jmi-2020-14-14
Abstract: Under some weaker size conditions assumed on the integral kernels both on the unit sphere and in the radial directions, the sharp Lp boundedness was proved for the generalized parametric Marcinkiewicz integrals along polynomial compound… read more here.
Keywords: parametric marcinkiewicz; integrals along; generalized parametric; marcinkiewicz integrals ... See more keywords