Analysis reveals commutants and spectral properties of Toeplitz operators in Bergman space, indicating new insights in operator theory.
This paper introduces generalized biharmonic poly-quasihomogeneous functions and studies Toeplitz operators with such symbols on the Bergman space. We characterize the commutants of these operators and investigate their spectral properties, generalizing previous work on biharmonic and polyquasihomogeneous symbols. We provide comprehensive proofs and examples and extend our results to related classes of symbols.
No takes yet. Share an insight, caveat, or question.
Raja`a Al-Naimi (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: