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The orlicz-petty bodies

WebbLuo, D. Ye and B. Zhu , On the polar Orlicz–Minkowski problems and the p-capacitary Orlicz–Petty bodies, Indiana Univ. Math. J. 69 (2024) 385–420. Google Scholar; 30. E. Lutwak , The Brunn–Minkowski–Firey theory I: Mixed … 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 …

[1611.04436] The Orlicz-Petty bodies - arxiv.org

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Mathematics Free Full-Text Asymmetric Orlicz Radial Bodies

Webb15 jan. 2010 · Abstract. Minkowski's projection bodies have evolved into L p projection bodies and their asymmetric analogs. These all turn out to be part of a far larger class of … Webb1 jan. 2015 · We find the conditions to the existence of the general dual Orlicz-Petty body and hence prove the continuity of the general geominimal surface area in the Orlicz … 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. bittern steam train

The Orlicz-Petty bodies 11footnote 1Keywords: affine …

Category:The (φ,ψ) Orlicz mixed Petty bodies - ScienceDirect

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The orlicz-petty bodies

A NEW PROOF OF THE ORLICZ BUSEMANN-PETTY CENTROID …

WebbIn this paper, the classical dual mixed volume of star bodies V˜(K1,⋯,Kn) and dual Aleksandrov–Fenchel inequality are extended to the Orlicz space. Under the framework … 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.

The orlicz-petty bodies

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WebbThe Orlicz-Petty bodies Baocheng Zhu, Han Hong and Deping Ye Abstract This paper is dedicated to the Orlicz-Petty bodies. We rst propose the homogeneous Orlicz a ne and … WebbFor a measure μ on ℝ n with density that has a positive degree of homogeneous and a positive degree of concavity, we study the Orlicz–Minkowski problem for such general measure μ and show the existence of the even Orlicz–Minkowski problem for μ.We also introduce the general Orlicz geominimal μ-measures and show the existence of the …

WebbFind many great new & used options and get the best deals for VINTAGE TYCO SLOT CAR #43 RICHARD PETTY STP DODGE CHARGER BODY at the best online prices at eBay! Free shipping for many products! WebbThis thesis is dedicated to study Orlicz-Petty bodies, the p-capacitary Orlicz-Brunn-Minkowski theory and the general p-a ne capacity as well as isocapacitary inequalities. In the second chapter, the homogeneous Orlicz a ne and geominimal surface areas are de ned and their basic properties are established including homogeneity, a ne

Webb14 nov. 2016 · This paper is dedicated to the Orlicz-Petty bodies. We first propose the homogeneous Orlicz affine and geominimal surface areas, and establish their basic …

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… bittern tennis clubWebb1 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, … data subect and processingWebb21 feb. 2024 · of this paper deals with the p-capacitary Orlicz-Petty bodies. In particular, the existence of the p -capacitary Orlicz-Petty bo dies is established and the continuity … bittern suburbWebb12 jan. 2024 · Polytopal solutions and/or counterexamples to the general dual-polar Orlicz–Minkowski problem for discrete measures are also provided. Several variations … data subject rights and lawful basisWebbIn this paper, the classical dual mixed volume of star bodies V˜(K1,⋯,Kn) and dual Aleksandrov–Fenchel inequality are extended to the Orlicz space. Under the framework of dual Orlicz-Brunn-Minkowski theory, we put forward a new affine geometric quantity by calculating first order Orlicz variation of the dual mixed volume, and call it Orlicz multiple … bittern takeawayWebbWe 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, … data subject rights npcWebbThe 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 … data subject request office 365