On Rough Parametric Marcinkiewicz Integrals Along Certain Surfaces
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DOI: 10.3390/math13081287
Abstract: In this paper, we study rough Marcinkiewicz integrals associated with surfaces defined by ΨP,ϕ={(˜P(w),ϕ(w)):w∈Rm}. We establish the Lp-boundedness of these integrals when the kernel functions lie in the Lq(Sm−1) space. Combining this result with Yano’s… read more here.
Keywords: along certain; integrals along; parametric marcinkiewicz; marcinkiewicz integrals ... See more keywords
Inequalities for generalized parametric Marcinkiewicz integrals along polynomial compound curves
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Inequalities"
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