Reducing Subspaces for Toeplitz Operator Tz1k1z2k2+az¯1l1z¯2l2 on the Weighted Hardy Space over the Bidisk
In this paper, we completely characterize the reducing subspaces for Tϕa on weighted Hardy space ℋω2D2 under three assumptions on ω, where ϕa=zk+az¯l, k,l∈ℕ2, k≠l, and a∈0,1. It is shown that the coefficient a∈0,1 does not affect the reducing subspaces for Tϕa. We also prove that, for every δ>0,...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2022
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| Online Access: | View Fulltext in Publisher |