Krzysztof Zajkowski

Legendre-Fenchel transform for the spectral exponent of polynomials of weighted composition operators

This is joint results with U. Ostaszewska.

We derive a relationship between the Legendre-Fenchel transform of the spectral exponent of weighted composition operators acting in $L^p$-spaces and the Legendre-Fenchel transform obtained for their polynomials. We establish the variational principle for the spectral exponent of polynomials of weighted composition operators.