Essential norm of operators on weighted Bergman spaces of infinite order

Pablo Galindo; Mikael Lindström

Essential norm of operators on weighted Bergman spaces of infinite order

Pablo Galindo^*, Mikael Lindström

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Tutkimustuotos: Lehtiartikkeli › Artikkeli › Tieteellinen › vertaisarvioitu

11 Sitaatiot (Scopus)

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We obtain a formula for the essential norm of any operator between weighted Bergman spaces of infinite order. Then we apply it to obtain or estimate essential norms of operators acting on Bloch type spaces and to differences of composition operators or Toeplitz operators on some weighted Bergman spaces.

Alkuperäiskieli	Englanti
Sivut	387-399
Sivumäärä	13
Julkaisu	Journal of Operator Theory
Vuosikerta	64
Numero	2
Tila	Julkaistu - syysk. 2010
OKM-julkaisutyyppi	A1 Julkaistu artikkeli, soviteltu

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abstract = "We obtain a formula for the essential norm of any operator between weighted Bergman spaces of infinite order. Then we apply it to obtain or estimate essential norms of operators acting on Bloch type spaces and to differences of composition operators or Toeplitz operators on some weighted Bergman spaces.",

keywords = "Composition operator, Essential norm, Toeplitz operator, Weighted bergman spaces of infinite order",

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

year = "2010",

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AU - Galindo, Pablo

AU - Lindström, Mikael

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AB - We obtain a formula for the essential norm of any operator between weighted Bergman spaces of infinite order. Then we apply it to obtain or estimate essential norms of operators acting on Bloch type spaces and to differences of composition operators or Toeplitz operators on some weighted Bergman spaces.

KW - Composition operator

KW - Essential norm

KW - Toeplitz operator

KW - Weighted bergman spaces of infinite order

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M3 - Article

AN - SCOPUS:78049275367

SN - 0379-4024

VL - 64

SP - 387

EP - 399

JO - Journal of Operator Theory

JF - Journal of Operator Theory

IS - 2

ER -

Essential norm of operators on weighted Bergman spaces of infinite order

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