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GREEN FORM TO INTRINSIC METRIC OF A BALL

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摘要 The Green form N(z, w) of (0, 1 )-forms with respect to the harmonic operator in theinvariant metric of a ball B^n in C^n is constructed. It is proved that for any differen-tiable (0, 1)-form g(z) in B^n with compact support and ?g = 0, the functionis a solution of the ?-equation ?v = g such that v vanishes on the boundary ?B^n of B^n. The Green form N(z, w) of (0, 1 )-forms with respect to the harmonic operator in theinvariant metric of a ball B^n in C^n is constructed. It is proved that for any differen-tiable (0, 1)-form g(z) in B^n with compact support and ?g = 0, the functionis a solution of the ?-equation ?v = g such that v vanishes on the boundary ?B^n of B^n.
作者 陆启铿
出处 《Science China Mathematics》 SCIE 1989年第2期129-141,共13页 中国科学:数学(英文版)
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