复平面上解析Banach空间的拟不变子空间
发布时间：2018-11-11 11:53
【摘要】：讨论复平面上解析Banach空间具有任意指标的拟不变子空间的存在性问题.首先给出一类复平面上解析Banach空间存在任意指标拟不变子空间的判定定理.作为应用,证明了Fock型空间F~p(C)={f∈Hol(C):1/π∫_C|f(z)|~pe~(-|z|~2)dA(z)+∞,1≤p+∞}与Hilbert空间H={f∈Hol(C):1/π∫_C|f(z)|~2e~(-|z|)dA(z)+∞}具有任意指标的拟不变子空间.
[Abstract]:The existence of quasi-invariant subspaces with arbitrary indices in analytic Banach spaces on complex plane is discussed. In this paper, we first give the theorem of the existence of any index quasi invariant subspace in a class of analytic Banach spaces on the complex plane. As an application, it is proved that the Fock type space FRP (C) = {f 鈭，
本文编号：2324765
[Abstract]:The existence of quasi-invariant subspaces with arbitrary indices in analytic Banach spaces on complex plane is discussed. In this paper, we first give the theorem of the existence of any index quasi invariant subspace in a class of analytic Banach spaces on the complex plane. As an application, it is proved that the Fock type space FRP (C) = {f 鈭，
本文编号：2324765
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