WEIGHTED ESTIMATES FOR ROUGH PARAMETRIC MARCINKIEWICZ INTEGRALS
نویسندگان
چکیده
منابع مشابه
On Weighted Inequalities for Parametric Marcinkiewicz Integrals
We establish a weighted Lp boundedness of a parametric Marcinkiewicz integral operator ρ Ω,h if Ω is allowed to be in the block space B (0,−1/2) q (Sn−1) for some q > 1 and h satisfies a mild integrability condition. We apply this conclusion to obtain the weighted Lp boundedness for a class of the parametric Marcinkiewicz integral operators ∗,ρ Ω,h,λ and ρ Ω,h,S related to the Littlewood-Paley ...
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We prove weighted estimates for rough bilinear singular integral operators with kernel K(y1, y2) = Ω((y1, y2)/|(y1, y2)|) |(y1, y2)| , where yi ∈ R and Ω ∈ L∞(S2d−1) with ∫ S2d−1 Ωdσ = 0. The argument is by sparse domination of rough bilinear operators, via an abstract theorem that is a multilinear generalization of recent work by CondeAlonso, Culiuc, Di Plinio and Ou, 2016. We also use recent ...
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ژورنال
عنوان ژورنال: Journal of the Korean Mathematical Society
سال: 2007
ISSN: 0304-9914
DOI: 10.4134/jkms.2007.44.6.1255