ar X iv : 0 90 8 . 15 57 v 4 [ m at h . FA ] 1 5 A ug 2 00 9
نویسنده
چکیده
An affine rearrangement inequality is established which strengthens and implies the recently obtained affine Pólya–Szegö symmetrization principle for functions on R. Several applications of this new inequality are derived. In particular, a sharp affine logarithmic Sobolev inequality is established which is stronger than its classical Euclidean counterpart.
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