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Limits of the hyperbolic derivative of conformal maps onto smooth domains with corners
by
Maria J. Martin
University of Michigan
We consider conformal self-maps j of the unit disk D such that j(D) is a Jordan domain whose boundary has a corner at a point j(z) of modulus one. We find a relationship between the limit of the modulus of the hyperbolic derivative of j along certain simple curves in the disk that end at z non-tangentially and several angles related with the kind of corner ∂j(D) has at j(z) and with the way we approach z.
Date received: February 20, 2008
Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cavq-63.