Wandering Subspaces and Quasi-wandering Subspaces in the Har

发布时间：2018-07-29 11:06

【摘要】：In this paper, we prove that for-1/2 ≤β≤0.suppose M is an invariant subspaces of the Hardy Sobolev spaces H_β~2(D) for T_z~β, then M() zM is a generating wandering subspace of M, that is,M=[M鋂zM]_T_z~β Moreover, any non-trivial invariant subspace M of H_β~2(D) is also generated by the quasi-wandering subspace P_MT_z~βM~⊥ that is,M=[P_MT_z~βM~⊥]_(T_z~β).
[Abstract]:In this paper, we prove that for-1/2 鈮の测墹0.suppose M is an invariant subspaces of the Hardy Sobolev spaces H_尾~2(D) for T_z~尾, then M() zM is a generating wandering subspace of M, that is,M=[M閶倆M]_T_z~尾 Moreover, any non-trivial invariant subspace M of H_尾~2(D) is also generated by the quasi-wandering subspace P_MT_z~尾M~鈯，

本文编号：2152484