Boundedness, compactness and Schatten class for Rhaly matrices

Abstract In this article we present new proofs for the boundedness and the compactness on of the Rhaly matrices, also known as terraced matrices. We completely characterize when such matrices belong to the Schatten class , for . Finally, we apply our results to study the Hadamard multipliers in weighted Dirichlet spaces, answering a question left open by Mashreghi–Ransford.

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Publication Details

Journal
Journal of the London Mathematical Society
Published
2025-09-29
DOI
https://doi.org/10.1112/jlms.70304
Citations
2
Primary Topic
Holomorphic and Operator Theory
Type
article
Field-Weighted Citation Impact
7.45
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article

Boundedness, compactness and Schatten class for Rhaly matrices

Georgios Stylogiannis, Carlo Bellavita, Eugenio Dellepiane
2 citations
Journal of the London Mathematical Society
Holomorphic and Operator Theory
7.45
article

Boundedness, compactness and Schatten class for Rhaly matrices

Georgios Stylogiannis, Carlo Bellavita, Eugenio Dellepiane
article en
2 citations

Abstract

Abstract In this article we present new proofs for the boundedness and the compactness on of the Rhaly matrices, also known as terraced matrices. We completely characterize when such matrices belong to the Schatten class , for . Finally, we apply our results to study the Hadamard multipliers in weighted Dirichlet spaces, answering a question left open by Mashreghi–Ransford.

Journal of the London Mathematical SocietyVol. 112(4)
Politecnico di Torino (IT), Aristotle University of Thessaloniki (GR), Universitat de Barcelona (ES)
Openalex Percentile: Top 3%
Holomorphic and Operator Theory
7.45
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