Orlicz projection bodies

Erwin Lutwak; Deane Yang; Gaoyong Zhang

doi:10.1016/j.aim.2009.08.002

Orlicz projection bodies

Erwin Lutwak, Deane Yang, Gaoyong Zhang

Mathematics

Research output: Contribution to journal › Article › peer-review

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 Orlicz projection bodies. The analog of the classical Petty projection inequality is established for the new Orlicz projection bodies.

Original language	English (US)
Pages (from-to)	220-242
Number of pages	23
Journal	Advances in Mathematics
Volume	223
Issue number	1
DOIs	https://doi.org/10.1016/j.aim.2009.08.002
State	Published - Jan 15 2010

Keywords

Brunn-Minkowski theory
Centroid bodies
Projection bodies

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1016/j.aim.2009.08.002

Cite this

@article{ef0037efa7424e798ea42ee16c348a57,

title = "Orlicz projection bodies",

abstract = "Minkowski's projection bodies have evolved into Lp projection bodies and their asymmetric analogs. These all turn out to be part of a far larger class of Orlicz projection bodies. The analog of the classical Petty projection inequality is established for the new Orlicz projection bodies.",

keywords = "Brunn-Minkowski theory, Centroid bodies, Projection bodies",

author = "Erwin Lutwak and Deane Yang and Gaoyong Zhang",

note = "Funding Information: Research supported, in part, by NSF Grant DMS-0706859. Corresponding author. E-mail address: [email protected] (E. Lutwak).",

year = "2010",

month = jan,

day = "15",

doi = "10.1016/j.aim.2009.08.002",

language = "English (US)",

volume = "223",

pages = "220--242",

journal = "Advances in Mathematics",

issn = "0001-8708",

publisher = "Academic Press Inc.",

number = "1",

}

TY - JOUR

T1 - Orlicz projection bodies

AU - Lutwak, Erwin

AU - Yang, Deane

AU - Zhang, Gaoyong

N1 - Funding Information: Research supported, in part, by NSF Grant DMS-0706859. Corresponding author. E-mail address: [email protected] (E. Lutwak).

PY - 2010/1/15

Y1 - 2010/1/15

N2 - Minkowski's projection bodies have evolved into Lp projection bodies and their asymmetric analogs. These all turn out to be part of a far larger class of Orlicz projection bodies. The analog of the classical Petty projection inequality is established for the new Orlicz projection bodies.

AB - Minkowski's projection bodies have evolved into Lp projection bodies and their asymmetric analogs. These all turn out to be part of a far larger class of Orlicz projection bodies. The analog of the classical Petty projection inequality is established for the new Orlicz projection bodies.

KW - Brunn-Minkowski theory

KW - Centroid bodies

KW - Projection bodies

UR - http://www.scopus.com/inward/record.url?scp=70350347084&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=70350347084&partnerID=8YFLogxK

U2 - 10.1016/j.aim.2009.08.002

DO - 10.1016/j.aim.2009.08.002

M3 - Article

AN - SCOPUS:70350347084

SN - 0001-8708

VL - 223

SP - 220

EP - 242

JO - Advances in Mathematics

JF - Advances in Mathematics

IS - 1

ER -

Orlicz projection bodies

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this