Isomorphic Steiner symmetrization
نویسندگان
چکیده
منابع مشابه
Steiner symmetrization using a finite set of directions
Article history: Received 14 May 2011 Accepted 19 September 2011 Available online 19 October 2011
متن کاملGafa Geometric and Functional Analysis Steiner Symmetrization Is Continuous
We study the continuity, smoothing, and convergence properties of Steiner symmetrization in higher space dimensions. Our main result is that Steiner symmetrization is continuous in W 1;p (1 p < 1) in all dimensions. This implies that spherical symmetrization cannot be approximated in W 1;p by sequences of Steiner symmetrizations. We also give a quantitative version of the standard energy inequa...
متن کاملStability of the Steiner symmetrization of convex sets
The isoperimetric inequality for Steiner symmetrization of any codimension is investigated and the equality cases are characterized. Moreover, a quantitative version of this inequality is proven for convex sets.
متن کاملA countable set of directions is sufficient for Steiner symmetrization
Article history: Received 13 January 2011 Accepted 23 February 2011 Available online 13 May 2011
متن کاملThe Steiner Symmetrization of Log–concave Functions and Its Applications
In this paper, we give a new definition of functional Steiner symmetrizations on logconcave functions. Using the functional Steiner symmetrization, we give a new proof of the classical Prékopa-Leindler inequality on log-concave functions.
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ژورنال
عنوان ژورنال: Inventiones Mathematicae
سال: 2003
ISSN: 0020-9910,1432-1297
DOI: 10.1007/s00222-003-0290-y