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Abstract: The main result of this paper is the existence of a hyperinvariant subspaceof weighted composition operator $Tf=vf\circ\tau$ on $L^p0,1^d$, $1 \leq p\leq \infty$ when the weight $v$ is in the class of ``generalizedpolynomials- and the composition map is a bijective ergodic transformsatisfying a given discrepancy. The work is based on the construction of afunctional calculus initiated by Wermer and generalized by Davie.



Author: George Androulakis, Antoine Flattot

Source: https://arxiv.org/







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