Generalized Schwarz-Pick estimates
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- by Barbara D. MacCluer, Karel Stroethoff and Ruhan Zhao PDF
- Proc. Amer. Math. Soc. 131 (2003), 593-599 Request permission
Abstract:
We obtain higher derivative generalizations of the Schwarz-Pick inequality for analytic self-maps of the unit disk as a consequence of recent characterizations of boundedness and compactness of weighted composition operators between Bloch-type spaces.References
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Additional Information
- Barbara D. MacCluer
- Affiliation: Department of Mathematics, University of Virginia, Charlottesville, Virginia 22903
- Email: bdm3f@virginia.edu
- Karel Stroethoff
- Affiliation: Department of Mathematical Sciences, University of Montana, Missoula, Montana 59812
- Email: ma_kms@selway.umt.edu
- Ruhan Zhao
- Affiliation: Department of Mathematics, University of Virginia, Charlottesville, Virginia 22903
- Address at time of publication: Department of Mathematical Sciences, University of Cincinnati, Cincinnati, Ohio 45221
- Received by editor(s): July 19, 2001
- Received by editor(s) in revised form: October 2, 2001
- Published electronically: June 12, 2002
- Communicated by: Joseph A. Ball
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 593-599
- MSC (2000): Primary 30C80, 47B33
- DOI: https://doi.org/10.1090/S0002-9939-02-06588-7
- MathSciNet review: 1933351