The orlicz-petty bodies
Webb12 jan. 2024 · Polytopal solutions and/or counterexamples to the general dual-polar Orlicz–Minkowski problem for discrete measures are also provided. Several variations … WebbThis collection of original papers related to the Israeli GAFA seminar (on Geometric Aspects of Functional Analysis) during the years 2004-2005 reflects the general trends of the theory and are a source of inspiration for research.
The orlicz-petty bodies
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Webb14 nov. 2016 · This paper is dedicated to the Orlicz-Petty bodies. homogeneous Orlicz affine and geominimal surface areas, and establish their basic properties such as homogeneity, affine invariance and affine isoperimetric inequalities. We also prove that the homogeneous geominimal surface areas are continuous, under certain conditions, on … Webb14 nov. 2016 · Memorial University of Newfoundland Abstract This paper is dedicated to the Orlicz-Petty bodies. We first propose the homogeneous Orlicz affine and …
WebbA decade ago, the Lp L p analogue of the classical Busemann- Petty centroid inequality was proved. Here, the definition of the centroid body is extended to an Orlicz centroid body of a star body, and the corresponding analogue of the Busemann-Petty centroid inequality is established for convex bodies. Citation Download Citation Erwin Lutwak. Webb1 mars 2024 · The original goal of this paper is to extend the affine isoperimetric inequality and Steiner type inequality of Orlicz projection bodies (which originated to Lutwak, Yang, …
WebbFör 1 dag sedan · The Lp (where 1≤p≤∞) centroid bodies with respect to weights that are powers of the distance to the origin (i.e., x ℓ with ℓ>−n) and their associated… Webbther the Orlicz Petty projection inequality nor the Orlicz Busemann-Petty centroid inequality appears to lead to the other in some manner discernable to the authors. …
Webb5 dec. 2024 · As an important part of the theory, the Orlicz Brunn-Minkowski inequality has been very popular with scholars in related fields. At first, the Orlicz Busemann-Petty centroid inequality[10]was introduced as a new proof by Li and Leng[12]in 2010 and the Orlicz Petty projection inequality were established by Lutwak et al[11].
http://maths.snnu.edu.cn/info/1020/5225.htm dianecho carougeWebbBlaschke-Santal´o inequality that connects the volume of an origin-symmetric convex body K with the volume of the polar body Γ∗ 2 K of the L2 centroid body of K is established. Mathematics subject classification (2010): 52A20, 52A40. Keywords and phrases: Star body, centroid body, affine isoperimetric inequality, reverse Blaschke-Santal ... diane chorleyWebbWe first propose the homogeneous Orlicz affine and geominimal surface areas, and establish their basic... Skip to main content. Due to a planned power outage on Friday, … diane christensen np windsor coWebbThe Orlicz-Petty Bodies. Int. Math. Res. Not. IMRN, 2024 (14) (2024) 4356-4403. 联系我们 电话：+86-10-62773561 邮箱：[email protected] 地址：北京市海淀区清华大学静斋丘成桐数学科学中心100084 本网站音视频内容，未经许可，不得转载 diane churchill fishkill nyWebbThe homogeneous (φ, ψ) Orlicz mixed Petty body is defined as follows. Definition 4.2. Let K, Q ∈ K o n, φ ∈ Φ ˆ 1 and ψ (t 1 n) be convex. A convex body M is said to be the … citb sssts online courseWebbOrlicz Petty projection body, graph functions. 1 Introduction The classical isoperimetric inequality is formulated by S(K) n!1=n n jKj ... However, the Orlicz Petty projection inequality were merely studied for convex bodies until now. Technically, to extend de nition (1.3), we need that the normal K needs to be well-de ned, and the quantity x diane clarke facebookWebbOn the polar Orlicz-Minkowski problems and the p-capacitary Orlicz-Petty bodies; E409 School of Mathematics; Mar 20 [Math. Dept.] Isoperimetric problem and Minkowski problem in convex and integral geometry; E409 School of Mathematics; Mar 20 [TMCSC ... citb sssts test answers