Abstract
Let φ be an automorphism of the open unit disc D. For such φ, we investigate the spectra of invertible weighted composition operators uCφ acting on a wide class of analytic function spaces; this class contains, for example, Hardy spaces Hp(D), weighted Bergman spaces Aαp(D), and weighted Banach spaces of H∞-type. We present new techniques for deducing the spectrum and for calculating the spectral radius of uCφ. We also characterize the Fredholmness of weighted composition operators on Hp(D) and Aαp(D).
Original language | English |
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Pages (from-to) | 1749-1777 |
Number of pages | 29 |
Journal | Journal of Functional Analysis |
Volume | 265 |
Issue number | 8 |
DOIs | |
Publication status | Published - 15 Oct 2013 |
MoE publication type | A1 Journal article-refereed |
Keywords
- Automorphism
- Fredholm operator
- Hardy spaces
- Spectrum
- Weighted Banach spaces of H-type
- Weighted Bergman spaces
- Weighted composition operator