Toeplitz operators on Bloch-type spaces and a generalization of Bloch-type spaces

초록

We deal with the boundedness of the n-th derivatives of Bloch-type functions and Toeplitz operators and give a relationshipbetween Bloch-type spaces and ranges of Toeplitz operators. Alsowe prove that the vanishing property of ∥ukαz∥s,α on the boundaryof D implies the compactness of Toeplitz operators and introduce ageneralization of Bloch-type spaces.

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