令Bp(Cn)={x∈Cn||x||p≤1}为n维复lp^n空间中的单位球,1≤p≤+∞,主要得到其体积公式,并讨论当n→∞,p→∞时其体积的某些渐近性质.
Let Bp(Cn)={x∈Cn||x||p≤1} be the unit ball of the n-dimension complex lp^n-space, 1≤p≤+∞. The volume formula of Bp(C^n) are obtained, and the asymptotic properties of volumes as n→∞,p→∞ are found out.