Continuity of the solution to the _{} Minkowski problem

Continuity of the solution to the _{} Minkowski problem
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DOI:
10.1090/proc/13248
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发表时间:
2016-07
期刊:
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影响因子:
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通讯作者:
Guangxian Zhu
Guangxian Zhu
中科院分区:
其他
文献类型:
--
作者:
Guangxian Zhu

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证明了表面积测度的弱收敛蕴含着相应凸体在Hausdorff度量下的收敛,并且Minkowski问题的解是关于的连续的。参考文献
Forwith, it is proved that the weak convergence ofsurface area measures implies the convergence of the corresponding convex bodies in the Hausdorff metric and that the solution to theMinkowski problem is continuous with respect to. References