Approximate Representation of Bergman Submodules
Approximate Representation of Bergman Submodules作者机构:School of Mathematics Shandong University
出 版 物:《Chinese Annals of Mathematics,Series B》 (数学年刊(B辑英文版))
年 卷 期:2016年第37卷第2期
页 面:221-234页
核心收录:
学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学]
基 金:supported by the National Natural Science Foundation of China(Nos.11271075,11371096) Shandong Province Natural Science Foundation(No.ZR2014AQ009) the Fundamental Research Funds of Shandong University(No.2015GN017)
主 题:Approximate representation Essential normality Bergman submodule
摘 要:In the present paper, the author shows that if a homogeneous submodule M of the Bergman module L_a^2(B_d) satisfies P_M-sum from i to ( M_(zi)P_MM*_(zi))≤c/(N + 1)P_M for some number c 0, then there is a sequence {f_j } of multipliers and a positive number c such that c P_M ≤sum from j to ( M_(fj)M*_(fj))≤ P_M, i.e., M is approximately representable. The author also proves that approximately representable homogeneous submodules are p-essentially normal for p d.