Fermat's last theorem and the Bergman space

Document Type : Original Article

Authors

Badal Sahoo

Pabitra Kumar Jena

Department of Mathematics‎, ‎Berhampur University‎, ‎Bhanja Bihar-760007‎, ‎Ganjam‎, ‎Odisha‎, ‎India

10.22034/kjm.2024.437529.3120

Abstract

In this article, we study the operator solutions of Fermat’s equation on the Bergman space. Further, the solutions of Fermat’s equation are investigated over the class of 2 × 2 and 3 × 3 operator matrices on the vector valued Bergman spaces where each entries of the matrix is considered as a linear bounded operator on the Bergman space .

Keywords

Fermat’s Equation

Toeplitz Operator

Hankel Operator

Composition Operator

Bergman space

Subjects

• 47 Operator theory

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