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

2022/06/07 by Agler, Jim, McCarthy, John E.
#47G10 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2206.03462

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.

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