Estimates of Weighted Integrals for Differential Forms
نویسندگان
چکیده
منابع مشابه
Weighted Decomposition Estimates for Differential Forms
Let e1, e2, . . . , en denote the standard orthogonal basis of R. Suppose that Λ Λ R is the linear space of all l-vectors, spanned by the exterior product eI ei1∧ei2∧· · ·∧eil corresponding to all ordered l-tuples I i1, i2, . . . , il , 1 ≤ i1 < i2 < · · · < il ≤ n. Throughout this paper, we always assume that Ω is an open subset of R. We use D′ M,Λ to denote the space of all differential l-for...
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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 Mathematical Analysis and Applications
سال: 2001
ISSN: 0022-247X
DOI: 10.1006/jmaa.2000.7329