An operator characterization of continuous Riesz spaces
نویسندگان
چکیده
منابع مشابه
Local Riesz transforms characterization of local Hardy spaces
For 0 < p ≤ 1, let hp(Rn) denote the local Hardy space. Let θ̂ be a smooth, compactly supported function, which is identically one in a neighborhood of the origin. For k = 1, . . . , n, let (rkf )̂ (ξ) = −i(1 − θ̂(ξ))ξk/|ξ|f̂(ξ) be the local Riesz transform and define (r0f )̂ (ξ) = (1 − θ̂(ξ))f̂(ξ). Let Ψ be a fixed Schwartz function with ∫ Ψ dx = 1, letM > 0 be an integer and suppose (n− 1)/(n+M − 1)...
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ژورنال
عنوان ژورنال: Indagationes Mathematicae
سال: 2012
ISSN: 0019-3577
DOI: 10.1016/j.indag.2011.10.008