On unit balls and isoperimetrices in normed spaces

• Autorzy: Horst Martini , Zokhrab Mustafaev
• Języki publikacji: EN

Abstrakty

EN

The purpose of this paper is to continue the investigations on the homothety of unit balls and isoperimetrices in higher-dimensional Minkowski spaces for the Holmes-Thompson measure and the Busemann measure. Moreover, we show a strong relation between affine isoperimetric inequalities and Minkowski geometry by proving some new related inequalities.

Kategorie tematyczne

• 46B20: Geometry and structure of normed linear spaces
• 52A40: Inequalities and extremum problems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2012
• Tom: 127
• Numer: 1
• Strony: 133-142

Daty

wydano

2012

Twórcy

autor

Horst Martini

• Faculty of Mathematics, University of Technology Chemnitz, 09107 Chemnitz, Germany

autor

Zokhrab Mustafaev

• Department of Mathematics, University of Houston-Clear Lake, Houston, TX 77058, U.S.A.

Identyfikatory

DOI

10.4064/cm127-1-10