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1.Bergman Kernel Function and Aut(D) on Domain D={z=(z_1, z_2)∈C ̄2:|z_1| ̄4+|z_2|<1}
域D={z=(z_1,z_2)∈C~2:|z_1|~4+|z_2|<1}的Ber收藏指正
2.Let ?D? be a bounded domain with ?C??(1)?? boundary in ?C?n. ? The authors use the locally finite open coverring of the countable strictly pseudoconvex to define a new partitions of unity of ?σ? point finite local holomorphic, constructed a generalized Cauchy integral formula with discrete local holomorphic kernel on the bounded domain ?D? and applied it to solving the ????equation. ?
设D是Cn空间中具有C(1)边界 D的有界域,本文利用D上一个局部有限的可数强拟凸开复盖,定义了D上一个新的局部全纯的σ点有限的单位分解,建立了D上一个更一般的具有离散局部全纯核的Cauchy积分公式并获得D上 方程的具有离散核的解的积分表示.收藏指正
3.The Bergman kernel function, the Bergman metric square matix and full group of holomorphic automorphism on the domain D={z=(z1,z2, z3)∈ : |z1|2k+|z2|+|z3|2<1,k>0} are obtained this paper.
本文给出了Reinhardt域D={z=(z1,z2,z3)∈:|z1|2k+|z2|+|z3|2<1,k>0}的Bergman核函数,Bergman度量方阵及其解析自同构最大群。收藏指正
4.Finally, we deal with the stability problem of the Bergman kernel, i.e., do the Bergman kernels of D_k. converge to the Bergman kernel of D on compact subsets of D × D where D_k i-s a sequence of bounded domains converges to a bounded domain D in the sense of Boas?
最后我们研究Bergman核的稳定性问题,即,若一列有界域D_k按Boas意义下收敛于一个有界域D,是否有D_k的Bergman核在D×D上局部一致地收敛到D上的Bergman核?收藏指正
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