Continuity of the solution to the $L_p$ Minkowski problem in Gaussian probability space (Q2684803)

scientific article; zbMATH DE number 7654890

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English	Continuity of the solution to the $L_p$ Minkowski problem in Gaussian probability space	scientific article; zbMATH DE number 7654890

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scholarly article

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title

Continuity of the solution to the $L_p$ Minkowski problem in Gaussian probability space (English)

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author

Hejun Wang

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publication date

17 February 2023

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full work available at URL

https://arxiv.org/abs/2103.09973

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zbMATH Keywords

$L_p$ Gaussian Minkowski problem

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$L_p$ Gaussian surface area measure

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continuity

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convex body

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MaRDI profile type

Publication

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cites work

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Lévy-Gromov's isoperimetric inequality for an infinite dimensional diffusion generator

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An isoperimetric inequality on the discrete cube and an elementary proof of the isoperimetric inequality in Gauss space

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The Brunn-Minkowski inequality in Gauss space

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The $L_{p}$ dual Minkowski problem for $p$ 1 and $q$ 0

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On the discrete logarithmic Minkowski problem

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Subspace concentration of dual curvature measures of symmetric convex bodies

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The logarithmic Minkowski problem

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The dual Minkowski problem for symmetric convex bodies

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$L_p$ Minkowski problem with not necessarily positive data

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The $L_p$-Minkowski problem and the Minkowski problem in centroaffine geometry

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On the isoperimetric deficit in Gauss space

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Affine Moser-Trudinger and Morrey-Sobolev inequalities

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The dimensional Brunn-Minkowski inequality in Gauss space

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Geometry of log-concave functions: the $L_p$ Asplund sum and the $L_p$ Minkowski problem

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The sharp convex mixed Lorentz-Sobolev inequality

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LYZ ellipsoid and Petty projection body for log-concave functions

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General volumes in the Orlicz-Brunn-Minkowski theory and a related Minkowski problem. I

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General volumes in the Orlicz-Brunn-Minkowski theory and a related Minkowski problem. II

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Gaussian Brunn-Minkowski inequalities

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General $L_{p}$ affine isoperimetric inequalities

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Asymmetric affine $L_p$ Sobolev inequalities

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An asymmetric affine Pólya-Szegő principle

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Sharp affine Sobolev type inequalities via the $L_{p}$ Busemann-Petty centroid inequality

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On the uniqueness of $L_p$-Minkowski problems: the constant $p$-curvature case in $\mathbb{R}^3$

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Geometric measures in the dual Brunn-Minkowski theory and their associated Minkowski problems

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The Minkowski problem in Gaussian probability space

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On the $L_{p}$ Minkowski problem for polytopes

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Mirror symmetric solutions to the centro-affine Minkowski problem

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The $L_p$-Gaussian Minkowski problem

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Rotationally symmetric solutions to the $L_p$-Minkowski problem

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Dual mixed volumes

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The Brunn-Minkowski-Firey theory. I: Mixed volumes and the Minkowski problem

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On the regularity of solutions to a generalization of the Minkowski problem

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Sharp affine $L_ p$ Sobolev inequalities.

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On the $L_{p}$-Minkowski problem

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$L_{p}$ dual curvature measures

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More on logarithmic sums of convex bodies

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Convex Bodies The Brunn-MinkowskiTheory

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The discrete planar $L_0$-Minkowski problem

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On the number of solutions to the discrete two-dimensional $L_{0}$-Minkowski problem.

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Q3536061

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Continuity of the solution to the dual Minkowski problem for negative indices

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Continuity of the solution to the even logarithmic Minkowski problem in the plane

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Continuity of the solution to the even Lp Minkowski problem for 0 < p < 1 in the plane

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On the uniqueness and continuity of the dual area measure

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The affine Sobolev-Zhang inequality on BV($\mathbb R^n)$

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The affine Sobolev inequality.

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The dual Minkowski problem for negative indices

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Existence of solutions to the even dual Minkowski problem

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The dual Orlicz-Minkowski problem

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The logarithmic Minkowski problem for polytopes

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The $L_p$ Minkowski problem for polytopes for $0 < p < 1$

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The centro-affine Minkowski problem for polytopes

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Continuity of the solution to the $L_p$ Minkowski problem

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The Lp Minkowski problem for polytopes for p<0

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published in

Acta Mathematica Sinica, English Series

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Identifiers

Mathematics Subject Classification ID

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10.1007/S10114-022-1694-1

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Sitelinks

Mathematics(1 entry)

mardi Publication:2684803

Continuity of the solution to the \(L_p\) Minkowski problem in Gaussian probability space (Q2684803)

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Identifiers

Sitelinks

Mathematics(1 entry)