A comparison theorem for subharmonic functions
Báo cáo viên: Đỗ Thái Dương

Thời gian: 10h45, Thứ tư, ngày 9/10/2019
Địa điểm: phòng 606 nhà A6
Tóm tắt: In this article, we prove an extension of the mean value theorem and a comparison theorem for subharmonic functions. These theorems are used to answer the question whether we can conclude that two subharmonic functions which agree almost everywhere on a surface with respect to the surface measure must coincide everywhere on that surface. We prove that this question has a positive answer in the case of hypersurfaces, and we also provide a counterexample in the case of surfaces of higher co-dimension.

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