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1995•Nagoya Mathematical JournalOpen access

Boundary behaviour of extremal plurisubharmonic functions

Stanley M. Einstein-Matthews

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Abstract

In [Mo.l], S. Momm studied the boundary behaviour of extremal plurisubharmonic functions by using the pluricomplex Green functiongΩof a bounded convex domainΩin Cnto exhaust the domain by a family of sublevel sets. Let Ω be a bounded convex domain in Cncontaining the origin in its interior. The pluricomplex green function ofΩwith a pole is defined by (1.1)

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What this paper is about

In [Mo.l], S. Momm studied the boundary behaviour of extremal plurisubharmonic functions by using the pluricomplex Green functiongΩof a bounded convex domainΩin Cnto exhaust the domain by a family of sublevel sets. Let Ω be a bounded convex domain in Cncontaining the origin in its interior. The pluricomplex green function ofΩwith a pole is defined by (1.1)

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Available abstract

In [Mo.l], S. Momm studied the boundary behaviour of extremal plurisubharmonic functions by using the pluricomplex Green functiongΩof a bounded convex domainΩin Cnto exhaust the domain by a family of sublevel sets. Let Ω be a bounded convex domain in Cncontaining the origin in its interior. The pluricomplex green function ofΩwith a pole is defined by (1.1)

Key concepts: Bounded function, Mathematics, Boundary (topology), Domain (mathematical analysis), Convex domain, Regular polygon, Pure mathematics, Function (biology)

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