Fredholm composition operators on analytic function spaces

Pablo Galindo; Mikael Lindström

doi:10.1007/s13348-010-0026-4

Fredholm composition operators on analytic function spaces

Pablo Galindo^*, Mikael Lindström

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › Scientific › peer-review

7 Citations (Scopus)

Abstract

We give a very short proof of a characterization of Fredholm composition operators acting on a large class of Banach spaces of analytic functions defined on the open unit ball of the Euclidian n-complex space.

Original language	English
Pages (from-to)	139-145
Number of pages	7
Journal	Collectanea Mathematica
Volume	63
Issue number	2
DOIs	https://doi.org/10.1007/s13348-010-0026-4
Publication status	Published - May 2012
MoE publication type	A1 Journal article-refereed

Funding

P. Galindo supported partially by Project MEC-FEDER 2007 064521 and M. Lindström supported partially by the Vilho, Yrjö and Kalle Väisälä Foundation and Project MEC-FEDER 2007 064521.

Keywords

Bloch spaces
BMOA spaces
Composition operator
Fredholm operator
Weighted Bergman spaces

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10.1007/s13348-010-0026-4

Cite this

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title = "Fredholm composition operators on analytic function spaces",

abstract = "We give a very short proof of a characterization of Fredholm composition operators acting on a large class of Banach spaces of analytic functions defined on the open unit ball of the Euclidian n-complex space.",

keywords = "Bloch spaces, BMOA spaces, Composition operator, Fredholm operator, Weighted Bergman spaces",

author = "Pablo Galindo and Mikael Lindstr{\"o}m",

note = "Funding Information: P. Galindo supported partially by Project MEC-FEDER 2007 064521 and M. Lindstr{\"o}m supported partially by the Vilho, Yrj{\"o} and Kalle V{\"a}is{\"a}l{\"a} Foundation and Project MEC-FEDER 2007 064521.",

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AU - Galindo, Pablo

AU - Lindström, Mikael

N1 - Funding Information: P. Galindo supported partially by Project MEC-FEDER 2007 064521 and M. Lindström supported partially by the Vilho, Yrjö and Kalle Väisälä Foundation and Project MEC-FEDER 2007 064521.

PY - 2012/5

Y1 - 2012/5

N2 - We give a very short proof of a characterization of Fredholm composition operators acting on a large class of Banach spaces of analytic functions defined on the open unit ball of the Euclidian n-complex space.

AB - We give a very short proof of a characterization of Fredholm composition operators acting on a large class of Banach spaces of analytic functions defined on the open unit ball of the Euclidian n-complex space.

KW - Bloch spaces

KW - BMOA spaces

KW - Composition operator

KW - Fredholm operator

KW - Weighted Bergman spaces

UR - https://www.scopus.com/pages/publications/84859640211

U2 - 10.1007/s13348-010-0026-4

DO - 10.1007/s13348-010-0026-4

M3 - Article

AN - SCOPUS:84859640211

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VL - 63

SP - 139

EP - 145

JO - Collectanea Mathematica

JF - Collectanea Mathematica

IS - 2

ER -

Fredholm composition operators on analytic function spaces

Abstract

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Keywords

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