Denjoy–Wolff theory and spectral properties of weighted composition operators on Hol(D)

Arendt, Wolfgang; Bernard, E.; Célariès, Benjamin; Chalendar, Isabelle

doi:10.1215/00192082-10235589

Illinois J. Math.

2022

DOI: 10.1215/00192082-10235589

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Denjoy–Wolff theory and spectral properties of weighted composition operators on Hol(D)

Wolfgang Arendt

E. Bernard

Benjamin Célariès

et al.

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2024

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Study of weighted elliptic composition operators on the unit ball of ℂ^N

Oger

2024

Concrete Operators

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We study the general properties, point spectrum and spectrum of a weighted composition operator W m , φ {W}_{m,\varphi } with elliptic symbol φ \varphi on the unit ball B N {{\mathbb{B}}}_{N} of C N {{\mathbb{C}}}^{N} , and general weight m ∈ Hol ( B N ) m\in {\rm{Hol}}\left({{\mathbb{B}}}_{N}) . We give a complete description of the spectra in the majority of cases, and we provide inclusions in general.

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Study of weighted elliptic composition operators on the unit ball of ℂ^N

Oger

2024

Concrete Operators

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Denjoy–Wolff theory and spectral properties of weighted composition operators on Hol(D)

Cited by 1 publication

References 16 publications

Study of weighted elliptic composition operators on the unit ball of ℂ^N

Study of weighted elliptic composition operators on the unit ball of ℂ^N

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Denjoy–Wolff theory and spectral properties of weighted composition operators on Hol(D)

Cited by 1 publication

References 16 publications

Study of weighted elliptic composition operators on the unit ball of ℂ N

Study of weighted elliptic composition operators on the unit ball of ℂ N

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Product

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Study of weighted elliptic composition operators on the unit ball of ℂ^N

Study of weighted elliptic composition operators on the unit ball of ℂ^N