Boundedness, compactness and Schatten class for Rhaly matrices
Abstract
In this article we present new proofs for the boundedness and the compactness on 2 of the Rhaly matrices, also known as terraced matrices. We completely characterize when such matrices belong to the Schatten class Sq(2), for 1<q<∞. 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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