Vector-valued sub-Bergman spaces on the unit disk
发表刊物:202502 Submitted to Mathematische Zeitschrift
摘要:We initiate the study of vector-valued sub-Bergman spaces on the unit disk, which are de Branges-Rovnyak subspaces of the vector-valued weighted Bergman space A2α,E, deffned by the contractions TB or T∗B for an analytic multiplier B of A2 α,E. There are notable differences between the scalar and vector-valued cases, especially when E is inffnite-dimensional.Throughout this work, we ffll in some gaps and provide uniffed proofs for several results from the scalar case. Most of our proofs are more elementary and straightforward.
合写作者:Caixing Gu, Shuaibing Luo, Pan Ma
论文类型:期刊论文
学科门类:理学
一级学科:数学
文献类型:J
是否译文:否