Exploring Hadamard multipliers on weighted Dirichlet spaces through L-matrices // Exploration des multiplicateurs de Hadamard sur les espaces de Dirichlet pondérés par le biais des L-matrices [r-libre/3567]

Bouthat, Ludovick; Mashreghi, Javad, & Morneau-Guérin, Frédéric (Nov 2024). Exploring Hadamard multipliers on weighted Dirichlet spaces through L-matrices // Exploration des multiplicateurs de Hadamard sur les espaces de Dirichlet pondérés par le biais des L-matrices. Paper (invited) presented at the Réunion d'hiver de la Société Mathématique du Canada 2024, Vancouver.

File(s) available for this item:

PDF - Exploring Hadamard multipliers on weighted Dirichlet spaces through L-matrices - CMS winter meeting 2024.pdf
Content : Slideshow
Restricted access till end- January 2026.

Request a copy

Item Type:	Conference papers (unpublished)
Refereed:	Yes
Status:	Unpublished
Abstract:	The Hadamard product of two power series is obtained by multiplying them coefficientwise. In 2020, Mashreghi and Ransford characterized those power series that act as Hadamard multipliers on all weighted Dirichlet spaces on the disk with superharmonic weight. These power series correspond to those whose associated L-matrix defines a bounded operator on l2. An L-matrix is an infinite matrix L whose entries are of the form L_i,j=a_{max(i,j)} for some complex sequence (a_n). In this talk, we present several conditions on the sequence (a_n) for L to be a bounded operator on l2 and we present a particular set of L-matrices for which we are able to exactly determine the norm.
Official URL:	https://winter24.cms.math.ca/
Depositor:	Morneau-Guérin, Frédéric
Owner / Manager:	Frédéric Morneau-Guérin
Deposited:	30 Jan 2025 20:52
Last Modified:	30 Mar 2025 14:10

Actions (login required)

RÉVISER