Displaying similar documents to “Non-attainable boundary values of H∞ functions.”

Hilbert transform, Toeplitz operators and Hankel operators and invariant A weights.

Sergei Treil, Alexander Volberg, Dechao Zheng (1997)

Revista Matemática Iberoamericana

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In this paper, several sufficient conditions for boundedness of the Hilbert transform between two weighted L-spaces are obtained. Invariant A weights are obtained. Several characterizations of invariant A weights are given. We also obtain some sufficient conditions for products of two Toeplitz operators of Hankel operators to be bounded on the Hardy space of the unit circle using Orlicz spaces and Lorentz spaces.

Cluster sets of analytic multivalued functions

S. Harbottle (1992)

Studia Mathematica

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Classical theorems about the cluster sets of holomorphic functions on the unit disc are extended to the more general setting of analytic multivalued functions, and examples are given to show that these extensions cannot be improved.