Cyclicity Results for Some Antianalytic Toeplitz Operators Acting on Hp
Résumé
This article deals with some cyclic families of functions for antianalytic Toeplitz operators whose symbol is a finite Blaschke product in the spaces Hp where 1 < p < 1. We give a description of the invariant subspaces for this type of operators generated by special decompositions and by lacunary decompositions of functions. To that end, we study some particular decomposition properties of a function in Hp associated with an inner function which are valid in general.