Spectra of weighted composition operators on weighted banach spaces of analytic functions

R. Aron; M. Lindström

doi:10.1007/BF02772223

Spectra of weighted composition operators on weighted banach spaces of analytic functions

R. Aron^*
, M. Lindström

^*Tämän työn vastaava kirjoittaja

Matematiikka

Tutkimustuotos: Lehtiartikkeli › Artikkeli › Tieteellinen › vertaisarvioitu

35 Sitaatiot (Scopus)

Abstrakti

We determine the spectra of weighted composition operators acting on the weighted Banach spaces of analytic functions H_vp^∞ when the symbol φ has a fixed point in the open unit disk. Further, we apply this result to give the spectra of composition operators on Bloch type spaces. In particular, we answer in the affirmative a conjecture by MacCluer and Saxe.

Alkuperäiskieli	Englanti
Sivut	263-276
Sivumäärä	14
Julkaisu	Israel Journal of Mathematics
Vuosikerta	141
DOI - pysyväislinkit	https://doi.org/10.1007/BF02772223
Tila	Julkaistu - 2004
OKM-julkaisutyyppi	A1 Julkaistu artikkeli, soviteltu

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10.1007/BF02772223

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abstract = "We determine the spectra of weighted composition operators acting on the weighted Banach spaces of analytic functions Hvp∞ when the symbol φ has a fixed point in the open unit disk. Further, we apply this result to give the spectra of composition operators on Bloch type spaces. In particular, we answer in the affirmative a conjecture by MacCluer and Saxe.",

author = "R. Aron and M. Lindstr{\"o}m",

year = "2004",

doi = "10.1007/BF02772223",

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volume = "141",

pages = "263--276",

journal = "Israel Journal of Mathematics",

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T1 - Spectra of weighted composition operators on weighted banach spaces of analytic functions

AU - Aron, R.

AU - Lindström, M.

PY - 2004

Y1 - 2004

N2 - We determine the spectra of weighted composition operators acting on the weighted Banach spaces of analytic functions Hvp∞ when the symbol φ has a fixed point in the open unit disk. Further, we apply this result to give the spectra of composition operators on Bloch type spaces. In particular, we answer in the affirmative a conjecture by MacCluer and Saxe.

AB - We determine the spectra of weighted composition operators acting on the weighted Banach spaces of analytic functions Hvp∞ when the symbol φ has a fixed point in the open unit disk. Further, we apply this result to give the spectra of composition operators on Bloch type spaces. In particular, we answer in the affirmative a conjecture by MacCluer and Saxe.

UR - https://www.scopus.com/pages/publications/3042675002

U2 - 10.1007/BF02772223

DO - 10.1007/BF02772223

M3 - Article

AN - SCOPUS:3042675002

SN - 0021-2172

VL - 141

SP - 263

EP - 276

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

ER -

Spectra of weighted composition operators on weighted banach spaces of analytic functions

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