Fractional smoothness of images of logarithmically concave measures under polynomials
type: Item
instance of: scholarly article
title: Fractional smoothness of images of logarithmically concave measures under polynomials
zbMATH Open document ID: 1390.28002
author: Egor D. Kosov
published in: Journal of Mathematical Analysis and Applications
publication date: 2018-05-31T00:00:00Z
full work available at URL: https://arxiv.org/abs/1605.00162
Mathematics Subject Classification ID: 28A10
Mathematics Subject Classification ID: 28C20
zbMATH DE Number: 6877132
zbMATH Keywords: logarithmically concave measure
zbMATH Keywords: total variation distance
zbMATH Keywords: Fortet-Mourier distance
zbMATH Keywords: distribution of a polynomial
zbMATH Keywords: Nikolskii-Besov class
MaRDI profile type: Publication
OpenAlex ID: W2963585679
arXiv ID: 1605.00162
cites work: Estimates for integral norms of polynomials on spaces with convex measures
cites work: On measurable polynomials on infinite-dimensional spaces
cites work: Logarithmically concave functions and sections of convex sets in $R^{n}$
cites work: Total variation distance between stochastic polynomials and invariance principles
cites work: Q4173808
cites work: Isoperimetric and analytic inequalities for log-concave probability measures
cites work: Q2702140
cites work: Some Generalizations of Prokhorov's Results on Khinchin-Type Inequalities for Polynomials
cites work: Q3415147
cites work: Differentiable measures and the Malliavin calculus
cites work: Two Properties of Vectors of Quadratic Forms in Gaussian Random Variables
cites work: A characterization of Nikolskii-Besov classes via integration by parts
cites work: Membership of distributions of polynomials in the Nikolskii-Besov class
cites work: On convergence in variation of weakly convergent multidimensional distributions
cites work: Convex measures on locally convex spaces
cites work: Distributional and \(L^q\) norm inequalities for polynomials over convex bodies in \(\mathbb{R}^n\)
cites work: The extreme points of subsets of s-concave probabilities and a geometric localization theorem
cites work: Convergence of densities of some functionals of Gaussian processes
cites work: Isoperimetric problems for convex bodies and a localization lemma
cites work: On convex perturbations with a bounded isotropic constant
cites work: Power-law estimates for the central limit theorem for convex sets
cites work: Besov classes on finite and infinite dimensional spaces
cites work: On translates of convex measures
cites work: Random walks in a convex body and an improved volume algorithm
cites work: Q4197841
cites work: Q4436159
cites work: Q5577906
cites work: Absolute continuity and convergence of densities for random vectors on Wiener chaos
cites work: Convergence in total variation on Wiener chaos
cites work: An invariance principle under the total variation distance
cites work: Convergence in Law Implies Convergence in Total Variation for Polynomials in Independent Gaussian, Gamma or Beta Random Variables
cites work: Central limit theorems for sequences of multiple stochastic integrals
cites work: Derivatives of Wiener functionals and absolute continuity of induced measures
cites work: Q5607484
DOI: 10.1016/J.JMAA.2018.02.016
description: scientific article