Vol. 87, No. 1, 1980

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A maximum principle on Clifford torus and nonexistence of proper holomorphic map from the ball to polydisc

Bun Wong

Vol. 87 (1980), No. 1, 211–222
Abstract

A maximum principle which estimates the gradients on the clifford torus of plurisubharmonic functions defined in the polydisc is derived. With this result we give a new proof that there exists no proper holomorphic map from the ball to polydisc in C2.

Mathematical Subject Classification 2000
Primary: 32H99
Secondary: 32A10
Milestones
Received: 25 July 1978
Published: 1 March 1980
Authors
Bun Wong