Semigroups of Operators on Hardy Spaces and Cocycles of Holomorphic Flows

Farhad Jafari; Zbigniew Slodkowski; Thomas Tonev

doi:10.1007/s11785-010-0067-4

Semigroups of Operators on Hardy Spaces and Cocycles of Holomorphic Flows

Farhad Jafari, Zbigniew Slodkowski, Thomas Tonev

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

3 Scopus citations

Abstract

In this paper the strongly continuous semigroups of bounded cocycle-weighted composition operators for holomorphic flows on Hardy spaces are characterized. In the process, an easy-to-check criterion for an operator to be a weighted composition operator is established.

Original language	English (US)
Pages (from-to)	113-119
Number of pages	7
Journal	Complex Analysis and Operator Theory
Volume	6
Issue number	1
DOIs	https://doi.org/10.1007/s11785-010-0067-4
State	Published - Feb 2012
Externally published	Yes

Bibliographical note

Funding Information:
Work partially supported by the IMA and the AFOSR.

Keywords

Coboundaries
Cocycles
Hardy spaces
Holomorphic flows
Weighted composition operators

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10.1007/s11785-010-0067-4

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title = "Semigroups of Operators on Hardy Spaces and Cocycles of Holomorphic Flows",

abstract = "In this paper the strongly continuous semigroups of bounded cocycle-weighted composition operators for holomorphic flows on Hardy spaces are characterized. In the process, an easy-to-check criterion for an operator to be a weighted composition operator is established.",

keywords = "Coboundaries, Cocycles, Hardy spaces, Holomorphic flows, Weighted composition operators",

author = "Farhad Jafari and Zbigniew Slodkowski and Thomas Tonev",

note = "Funding Information: Work partially supported by the IMA and the AFOSR.",

year = "2012",

month = feb,

doi = "10.1007/s11785-010-0067-4",

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AU - Jafari, Farhad

AU - Slodkowski, Zbigniew

AU - Tonev, Thomas

N1 - Funding Information: Work partially supported by the IMA and the AFOSR.

PY - 2012/2

Y1 - 2012/2

N2 - In this paper the strongly continuous semigroups of bounded cocycle-weighted composition operators for holomorphic flows on Hardy spaces are characterized. In the process, an easy-to-check criterion for an operator to be a weighted composition operator is established.

AB - In this paper the strongly continuous semigroups of bounded cocycle-weighted composition operators for holomorphic flows on Hardy spaces are characterized. In the process, an easy-to-check criterion for an operator to be a weighted composition operator is established.

KW - Coboundaries

KW - Cocycles

KW - Hardy spaces

KW - Holomorphic flows

KW - Weighted composition operators

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Semigroups of Operators on Hardy Spaces and Cocycles of Holomorphic Flows

Abstract

Bibliographical note

Keywords

Publisher link

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