Compact Weighted Composition Operators and Fixed Points in Convex Domains

Let D be a bounded, convex domain in ℂn, and suppose that Æ:D→D is holomorphic. Assume that È:D→ℂ is analytic, bounded away from zero toward the boundary of D, and not identically zero on the fixed point set of D. Suppose also that the weighted composition operator WÈ,Æ g...

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Bibliographic Details
Main Author: Dana D. Clahane
Format: Article
Language:English
Published: SpringerOpen 2007-10-01
Series:Fixed Point Theory and Applications
Online Access:http://dx.doi.org/10.1155/2007/28750