Commuting Slant Toeplitz Operators on the Bergman Space

2025/03/31 by Zhang, H. Y.
#Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2504.01042

Abstract

This paper shows that on the Bergman space of the open unit disk, the slant Toeplitz operator T_p+φ and T_p+ψ commute if and only if φ=ψ ,where φ and ψ are both bounded analytic functions, and p is ananalytic polynomial.

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