This is an announcement for the paper "Hyperinvariant subspace for weighted composition operator on $L^p([0,1]^d)$" by George Androulakis and Antoine Flattot.
Abstract: The main result of this paper is the existence of a hyperinvariant subspace of weighted composition operator $Tf=vf\circ\tau$ on $L^p([0,1]^d)$, ($1 \leq p \leq \infty$) when the weight $v$ is in the class of ``generalized polynomials'' and the composition map is a bijective ergodic transform satisfying a given discrepancy. The work is based on the construction of a functional calculus initiated by Wermer and generalized by Davie.
Archive classification: math.FA
Mathematics Subject Classification: 47A15 ; 47A10; 47A60
The source file(s), WCO.tex: 48622 bytes, is(are) stored in gzipped form as 0809.4429.gz with size 14kb. The corresponding postcript file has gzipped size 122kb.
Submitted from: giorgis@math.sc.edu
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http://front.math.ucdavis.edu/0809.4429
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http://arXiv.org/abs/0809.4429
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