The even Orlicz Minkowski problem

Christoph Haberl; Erwin Lutwak; Deane Yang; Gaoyong Zhang

doi:10.1016/j.aim.2010.02.006

The even Orlicz Minkowski problem

Christoph Haberl, Erwin Lutwak, Deane Yang, Gaoyong Zhang

Mathematics

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

Abstract

The classical Minkowski problem leads to the Lp Minkowski problem and now to the Orlicz Minkowski problem. Existence is demonstrated for the even Orlicz Minkowski problem. A byproduct is a new approach to the solution of the classical Minkowski problem.

Original language	English (US)
Pages (from-to)	2485-2510
Number of pages	26
Journal	Advances in Mathematics
Volume	224
Issue number	6
DOIs	https://doi.org/10.1016/j.aim.2010.02.006
State	Published - Aug 2010

Keywords

Aleksandrov body
Minkowski problem
Orlicz norm
Petty projection inequality
Support function
Surface area

ASJC Scopus subject areas

Mathematics(all)

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10.1016/j.aim.2010.02.006

Cite this

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title = "The even Orlicz Minkowski problem",

abstract = "The classical Minkowski problem leads to the Lp Minkowski problem and now to the Orlicz Minkowski problem. Existence is demonstrated for the even Orlicz Minkowski problem. A byproduct is a new approach to the solution of the classical Minkowski problem.",

keywords = "Aleksandrov body, Minkowski problem, Orlicz norm, Petty projection inequality, Support function, Surface area",

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

year = "2010",

month = aug,

doi = "10.1016/j.aim.2010.02.006",

language = "English (US)",

volume = "224",

pages = "2485--2510",

journal = "Advances in Mathematics",

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T1 - The even Orlicz Minkowski problem

AU - Haberl, Christoph

AU - Lutwak, Erwin

AU - Yang, Deane

AU - Zhang, Gaoyong

PY - 2010/8

Y1 - 2010/8

N2 - The classical Minkowski problem leads to the Lp Minkowski problem and now to the Orlicz Minkowski problem. Existence is demonstrated for the even Orlicz Minkowski problem. A byproduct is a new approach to the solution of the classical Minkowski problem.

AB - The classical Minkowski problem leads to the Lp Minkowski problem and now to the Orlicz Minkowski problem. Existence is demonstrated for the even Orlicz Minkowski problem. A byproduct is a new approach to the solution of the classical Minkowski problem.

KW - Aleksandrov body

KW - Minkowski problem

KW - Orlicz norm

KW - Petty projection inequality

KW - Support function

KW - Surface area

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DO - 10.1016/j.aim.2010.02.006

M3 - Article

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VL - 224

SP - 2485

EP - 2510

JO - Advances in Mathematics

JF - Advances in Mathematics

IS - 6

ER -

The even Orlicz Minkowski problem

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

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