This article shows induced connection is bounded by Toeplitz and Hankel operators in Kähler manifolds, suggesting new insights into operator theory.
The purpose of the present article is to show that an upper bound of the induced connection on sections of Toeplitz operators is bounded by a function of the Hankel and of the Toeplitz operators on a weighted Hilbert Bergman space on a bounded domain of a complete Kähler manifold.
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Mohammed El Aïdi (2024) studied this question.
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