Quasihomogeneous Toeplitz operators on the harmonic Bergman space
Issam Louhichi, Lova Zakariasy
TL;DR
This paper investigates the conditions under which the product of quasihomogeneous Toeplitz operators on the harmonic Bergman space remains a Toeplitz operator and when such operators commute, enhancing understanding of their algebraic structure.
Contribution
It provides new criteria for the product and commutativity of quasihomogeneous Toeplitz operators on the harmonic Bergman space.
Findings
Characterization of when the product of two quasihomogeneous Toeplitz operators is a Toeplitz operator.
Conditions under which these operators commute.
Insights into the algebraic structure of Toeplitz operators on harmonic Bergman space.
Abstract
In this paper we study the product of Toeplitz operators on the harmonic Bergman space of the unit disk of the complex plane C. Mainly, we discuss when the product of two quasihomogeneous Toeplitz operators is also a Toeplitz operator, and when such operators commute.
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Taxonomy
TopicsHolomorphic and Operator Theory · Algebraic and Geometric Analysis · Analytic and geometric function theory