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Mathematics > Complex Variables

Title: The invariant subspaces of the shift plus integer multiple of Volterra operator on Hardy spaces

Authors: Qingze Lin
Abstract: \v{C}u\v{c}kovi\'{c} and Paudyal recently characterized the lattice of invariant subspaces of the shift plus a complex Volterra operator on the Hilbert space $H^2$ on the unit disk. Motivated by the idea of Ong, in this paper, we give a complete characterization of the lattice of invariant subspaces of the shift operator plus a positive integer multiple of the Volterra operator on Hardy spaces $H^p$, which essentially extends their works to the more general cases when $1\leq p<\infty$.
Comments: 8 pages
Subjects: Complex Variables (math.CV)
MSC classes: 45P05, 30H10
Cite as: arXiv:1803.06623 [math.CV]
  (or arXiv:1803.06623v1 [math.CV] for this version)

Submission history

From: Qingze Lin [view email]
[v1] Sun, 18 Mar 2018 07:54:10 GMT (7kb)