Rough bilinear singular integrals
نویسندگان
چکیده
منابع مشابه
Weighted estimates for rough bilinear singular integrals via sparse domination
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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where, p.v. denotes the principal value. It is known that if Φ is of finite type at 0 (see Definition 2.2) and Ω ∈ 1(Sn−1), then TΦ,Ω is bounded on Lp for 1<p <∞ [15]. Moreover, it is known that TΦ,Ω may fail to be bounded on Lp for any p if the finite-type condition is removed. In [8], Fan et al. showed that the Lp boundedness of the operator TΦ,Ω still holds if the condition Ω ∈ 1(Sn−1) is re...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2018
ISSN: 0001-8708
DOI: 10.1016/j.aim.2017.12.013