Geodesic
Sharp dilation-type inequalities with fixed parameter of convexity
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 12, Tome 351 (2007), pp. 54-78

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Sharp upper bounds for large and small deviations and dilation-type inequalities are considered for probability distributions satisfying convexity conditions of the Brunn–Minkowski kind. 
@article{ZNSL_2007_351_a2,
     author = {S. G. Bobkov and F. L. Nazarov},
     title = {Sharp dilation-type inequalities with fixed parameter of convexity},
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     volume = {351},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2007_351_a2/}
}
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S. G. Bobkov; F. L. Nazarov. Sharp dilation-type inequalities with fixed parameter of convexity. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 12, Tome 351 (2007), pp. 54-78. http://geodesic.mathdoc.fr/item/ZNSL_2007_351_a2/