Gafa Geometric and Functional Analysis Steiner Symmetrization Is Continuous
نویسنده
چکیده
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 inequalities for spherical symmetrization.
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