منابع مشابه
A Note on A∞ Estimates via Extrapolation of Carleson Measures
In this note we present a different approach to the A∞ extrapolation via Carleson measures developed in [HM] and we illustrate the use of this technique by reproving a well known result of [FKP]. The AMSI-ANU Workshop on Spectral Theory and Harmonic Analysis ANU, Canberra, 13--17 July, 2009 Proceedings of the Centre for Mathematics and its Applications 44 (2010), 143--166.
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0. The aim of this paper is to announce several results concerning smoothing Hubert manifolds and some of their consequences for homeomorphisms. All manifolds are assumed to be Hausdorff, paracompact, and separable with local model the oo-dimensional separable Hubert space H. (All separable infinite dimensional Fréchet spaces are homeomorphic to H.) As usual, we denote by DTM the unit disc and ...
متن کاملCarleson and Vanishing Carleson Measures on Radial Trees
We extend a discrete version of an extension of Carleson’s theorem proved in [5] to a large class of trees T that have certain radial properties. We introduce the geometric notion of s-vanishing Carleson measure on such a tree T (with s ≥ 1) and give several characterizations of such measures. Given a measure σ on T and p ≥ 1, let Lp(σ) denote the space of functions g defined on T such that |g|...
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We define the notions of unilateral metric derivatives and “metric derived numbers” in analogy with Dini derivatives (also referred to as “derived numbers”) and establish their basic properties. We also prove that the set of points where a path with values in a metric space with continuous metric derivative is not “metrically differentiable” (in a certain strong sense) is σsymmetrically porous ...
متن کاملSobolev homeomorphisms with gradients of low rank via laminates
Let Ω ⊂ R be a bounded open set. Given 2 ≤ m ≤ n, we construct a convex function φ : Ω → R whose gradient f = ∇φ is a Hölder continuous homeomorphism, f is the identity on ∂Ω, the derivative Df has rank m − 1 a.e. in Ω and Df is in the weak L space L. The proof is based on convex integration and staircase laminates.
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ژورنال
عنوان ژورنال: Annales Academiae Scientiarum Fennicae Mathematica
سال: 2011
ISSN: 1239-629X,1798-2383
DOI: 10.5186/aasfm.2011.3613