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Planar Poincaré domains: Geometry and Steiner symmetrization

Journal d'Analyse Mathématique, 1995
A planar domain \(\Omega\) is called a \(b\)-strip if each cross-section \( \Omega_x = \{y : (x,y) \in \Omega\}\) is either empty or an interval of length no greater than \(b\). The authors provide necessary and sufficient conditions on strip domains \(\Omega\) in order for them to be \(p\)-Poincaré domains, i.e.
Smith, Wayne   +2 more
openaire   +2 more sources

Isomorphic Steiner symmetrization of $$p$$ p -convex sets

Geometriae Dedicata, 2013
Denote by \(D_n\) the \(n\)-dimensional Euclidean unit ball and by \(\kappa_n\) its Lebesgue measure. According to \textit{B. Klartag} and \textit{V. D. Milman} [Invent. Math. 153, No. 3, 463--485 (2003; Zbl 1034.52008)], there exist universal positive constants \(c\) and \(C\) such that for each convex body \(K \subset \mathbb R^n\) with \(|K ...
openaire   +1 more source

A Result on the Steiner Symmetrization of a Compact Set

Journal of the London Mathematical Society, 1976
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Estimates related to steiner symmetrizations

2006
J. Bourgain, J. Lindenstrauss, V. Milman
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Weighted Dirichlet-type inequalities for Steiner symmetrization

Calculus of Variations and Partial Differential Equations, 1999
F Brock
exaly  

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