Continuity of the solution to the even logarithmic Minkowski problem in the plane

• 来源期刊: 中国科学：数学（英文版）
• 年，卷（期）: 2019,（7）
• 页码范围: 1419-1428
• 页数: 10页
• 语种: 英文

摘要

This paper investigates continuity of the solution to the even logarithmic Minkowski problem in the plane.It is shown that the weak convergence of a sequence of cone-volume measures in R2 implies the convergence of the sequence of the corresponding origin-symmetric convex bodies in the Hausdorff metric.