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Boundedness and compactness of weighted composition operators and monomial operators

2022/12/05 by I. Chalendar, Chalendar, I., J. R. Partington +1
Mathematics · #30H10 #47B33 #Advanced Topics in Algebra #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.2212.02172

openalex publication_date 2022/12/05 · openalex created_date 2022/12/19 · openalex updated_date 2026/07/28

Abstract

This paper characterises the boundedness and compactness of Agler--McCarthy monomial operators by reducing them to weighted composition operators and deriving explicit Carleson measure criteria on the half-plane. The results are illustrated by examples.

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