Embedding and compact embedding between Bergman and Hardy spaces
发表刊物:arXiv:2502.08406
摘要:For Hardy spaces and weighted Bergman spaces on the open unit ball in Cn, we determine exactly when Apα⊂Hq or Hp⊂Aqα, where 0<q<∞, 0<p<∞, and −∞<α<∞. For each such inclusion we also determine exactly when it is a compact embedding. Although some special cases were known before, we are able to completely cover all possible cases here. We also introduce a new notion called {\it tight fitting} and formulate a conjecture in terms of it, which places several prominent known results about contractive embeddings in the same framework.
合写作者:Guanlong Bao, Pan Ma, Fugang Yan, Kehe Zhu
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