Lp Estimates of certain rough parametric Marcinkiewicz functions
Sign Up to like & getrecommendations! Published in 2019 at "Frontiers of Mathematics in China"
DOI: 10.1007/s11464-019-0792-6
Abstract: We prove Lp estimates of a class of parametric Marcinkiewicz integral operators when their kernels satisfy only the \(L^1(\mathbb{S}^{n-1})\) integrability condition. The obtained Lp estimates resolve a problem left open in previous work. Our argument… read more here.
Keywords: parametric marcinkiewicz; rough parametric; certain rough; estimates certain ... 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