Lp affine isoperimetric inequalities
Lp AFFINE ISOPERIMETRIC INEQUALITIES Page 1 j. differential geometry 56 (2000) 111-132
Lp AFFINE ISOPERIMETRIC INEQUALITIES ERWIN LUTWAK, DEANE YANG & GAOYONG …
Lp AFFINE ISOPERIMETRIC INEQUALITIES ERWIN LUTWAK, DEANE YANG & GAOYONG …
[引用][C] Fourier Analysis in Convex Geometry
A Koldobsky - American Mathematical Society, 2005 - books.google.com
The study of the geometry of convex bodies based on information about sections and
projections of these bodies has important applications in many areas of mathematics and …
projections of these bodies has important applications in many areas of mathematics and …
Volume inequalities for subspaces of L p
VOLUME INEQUALITIES FOR SUBSPACES OF Lp Erwin Lutwak, Deane Yang & Gaoyong
Zhang Abstract Affine isoperimetric inequalities Page 1 j. differential geometry 68 (2004) 159-184 …
Zhang Abstract Affine isoperimetric inequalities Page 1 j. differential geometry 68 (2004) 159-184 …
The Fourier transform and Firey projections of convex bodies
D Ryabogin, A Zvavitch - Indiana University mathematics journal, 2004 - JSTOR
In this paper we develop a Fourier analytic approach to problems in the Brunn-Minkowski-
Firey theory of convex bodies. We study the notion of Firey projections and prove a version …
Firey theory of convex bodies. We study the notion of Firey projections and prove a version …
The Busemann-Petty problem for arbitrary measures
A Zvavitch - Mathematische Annalen, 2005 - Springer
The Busemann-Petty problem asks whether symmetric convex bodies in ℝ n with smaller
(n− 1)-dimensional volume of central hyperplane sections necessarily have smaller n …
(n− 1)-dimensional volume of central hyperplane sections necessarily have smaller n …
Projections of convex bodies and the Fourier transform
A Koldobsky, D Ryabogin, A Zvavitch - Israel journal of mathematics, 2004 - Springer
The Fourier analytic approach to sections of convex bodies has recently been developed
and has led to several results, including a complete analytic solution to the Busemann-Petty …
and has led to several results, including a complete analytic solution to the Busemann-Petty …
R\'enyi entropy power inequality and a reverse
J Li - arXiv preprint arXiv:1704.02634, 2017 - arxiv.org
This paper is twofold. In the first part, we present a refinement of the R\'enyi Entropy Power
Inequality (EPI) recently obtained in\cite {BM16}. The proof largely follows the approach …
Inequality (EPI) recently obtained in\cite {BM16}. The proof largely follows the approach …
[HTML][HTML] Convex and star-shaped sets associated with multivariate stable distributions, I: Moments and densities
I Molchanov - Journal of multivariate analysis, 2009 - Elsevier
It is known that each symmetric stable distribution in Rd is related to a norm on Rd that
makes Rd embeddable in Lp ([0, 1]). In the case of a multivariate Cauchy distribution the unit …
makes Rd embeddable in Lp ([0, 1]). In the case of a multivariate Cauchy distribution the unit …
Inversion and characterization of the hemispherical transform
B Rubin - Journal d'Analyse Mathématique, 1999 - Springer
Explicit inversion formulas are obtained for the hemispherical transform (FΜ)(x)= Μ {y∃ S n:
x. y≥ 0}, x∃ S n, where S n is the n dimensional unit sphere in ℝ n+ 1, n≥ 2, and Μ is a …
x. y≥ 0}, x∃ S n, where S n is the n dimensional unit sphere in ℝ n+ 1, n≥ 2, and Μ is a …
𝐿_ {𝑝}-Blaschke valuations
J Li, S Yuan, G Leng - Transactions of the American Mathematical Society, 2015 - ams.org
In this article, a classification of continuous, linearly intertwining, symmetric $ L_p $-
Blaschke ($ p> 1$) valuations is established as an extension of Haberl's work on Blaschke …
Blaschke ($ p> 1$) valuations is established as an extension of Haberl's work on Blaschke …