English

Boundedness and compactness of weighted composition operators and monomial operators

Functional Analysis 2022-12-06 v1 Complex Variables

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.

Keywords

Cite

@article{arxiv.2212.02172,
  title  = {Boundedness and compactness of weighted composition operators and monomial operators},
  author = {I. Chalendar and J. R. Partington},
  journal= {arXiv preprint arXiv:2212.02172},
  year   = {2022}
}
R2 v1 2026-06-28T07:22:16.690Z