Compact subsets of spaces of holomorphic functions

[摘要] In [26] compactness criteria in function spaces are investigated for general coorbit spaces. These methods cannot be easily adopted for the spaces $F_m$ and the Bergman-spaces $B^2(Omega)$. We will be able to derive a generalization of the above mentioned result to the spaces $F_m$ and $B^2(Omega)$. Furthermore we will be able to derive a sufficient compactness conditions for subsets $A$ of the Fock-space in terms of the Taylor-expansion of the functions $fin A$.

[学科分类] 数学（综合）

[关键词] Increasing norm-space