An index theorem for quotients of bergman spaces on egg domains

Mohammad Jabbari; Xiang Tang

doi:10.2140/akt.2021.6.357

An index theorem for quotients of bergman spaces on egg domains

Mohammad Jabbari
, Xiang Tang

Department of Mathematics

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

Abstract

We prove a K-homology index theorem for Toeplitz operators obtained from the multishifts of Bergman spaces on several classes of egg-like domains. This generalizes our earlier work with Douglas and Yu for the unit ball.

Original language	English
Pages (from-to)	357-380
Number of pages	24
Journal	Annals of K-Theory
Volume	6
Issue number	2
DOIs	https://doi.org/10.2140/akt.2021.6.357
State	Published - 2021

Keywords

Egg domains.
Index theorem
Toeplitz operators

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10.2140/akt.2021.6.357

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title = "An index theorem for quotients of bergman spaces on egg domains",

abstract = "We prove a K-homology index theorem for Toeplitz operators obtained from the multishifts of Bergman spaces on several classes of egg-like domains. This generalizes our earlier work with Douglas and Yu for the unit ball.",

keywords = "Egg domains., Index theorem, Toeplitz operators",

author = "Mohammad Jabbari and Xiang Tang",

note = "Publisher Copyright: {\textcopyright} 2021 Mathematical Sciences Publishers.",

year = "2021",

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language = "English",

volume = "6",

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AU - Jabbari, Mohammad

AU - Tang, Xiang

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AB - We prove a K-homology index theorem for Toeplitz operators obtained from the multishifts of Bergman spaces on several classes of egg-like domains. This generalizes our earlier work with Douglas and Yu for the unit ball.

KW - Egg domains.

KW - Index theorem

KW - Toeplitz operators

UR - https://www.scopus.com/pages/publications/85121046726

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DO - 10.2140/akt.2021.6.357

M3 - Article

AN - SCOPUS:85121046726

SN - 2379-1683

VL - 6

SP - 357

EP - 380

JO - Annals of K-Theory

JF - Annals of K-Theory

IS - 2

ER -

An index theorem for quotients of bergman spaces on egg domains

Abstract

Keywords

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