Beurling’s theorem for the Hardy operator on L2[0 , 1]

Jim Agler; John E. McCarthy

doi:10.1007/s44146-023-00073-y

Beurling’s theorem for the Hardy operator on L²[0 , 1]

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

Abstract

We prove that the invariant subspaces of the Hardy operator on L²[0 , 1] are the spaces that are limits of sequences of finite dimensional spaces spanned by monomial functions.

Original language	English
Journal	Acta Scientiarum Mathematicarum
DOIs	https://doi.org/10.1007/s44146-023-00073-y
State	Accepted/In press - 2023

Keywords

Beurling’s theorem
Hardy operator
Invarinat subspaces
Monomial operators

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10.1007/s44146-023-00073-y

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title = "Beurling{\textquoteright}s theorem for the Hardy operator on L2[0 , 1]",

abstract = "We prove that the invariant subspaces of the Hardy operator on L2[0 , 1] are the spaces that are limits of sequences of finite dimensional spaces spanned by monomial functions.",

keywords = "Beurling{\textquoteright}s theorem, Hardy operator, Invarinat subspaces, Monomial operators",

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KW - Beurling’s theorem

KW - Hardy operator

KW - Invarinat subspaces

KW - Monomial operators

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Beurling’s theorem for the Hardy operator on L²[0 , 1]

Abstract

Keywords

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