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Strongly exposed points, Helson-Szegö weights and Toeplitz operators

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Abstract

We investigate the strongly exposed points of the unit ball ofH 1 and show that these functions are characterized by the equality of two De Branges' spaces that appeared in earlier results on exposed points. It then follows that the strongly exposed points are induced by Helson-Szegö weights, leading to several interesting properties of this class of functions.

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Dedicated to my father, Albert Jan Beneker.

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Beneker, P. Strongly exposed points, Helson-Szegö weights and Toeplitz operators. Integr equ oper theory 31, 299–306 (1998). https://doi.org/10.1007/BF01195121

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