Title :

Growth of hypercyclic functions: a continuous path between $\mathcal{U}$-frequent hypercyclicity and hypercyclicity

Author(s) :

Mouze, Augustin [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Munnier, Vincent [Auteur]

English keyword(s) :

hypercyclic vectors
weighted shifts
rate of growth
boundary behavior

HAL domain(s) :

Mathématiques [math]/Analyse classique [math.CA]
Mathématiques [math]/Variables complexes [math.CV]
Mathématiques [math]/Analyse fonctionnelle [math.FA]

English abstract : [en]

We are interested in the optimal growth in terms of $L^p$-averages of hypercyclic and $\mathcal{U}$-frequently hypercyclic functions for some weighted Taylor shift operators acting on the space of analytic function on the ...
Show more >We are interested in the optimal growth in terms of $L^p$-averages of hypercyclic and $\mathcal{U}$-frequently hypercyclic functions for some weighted Taylor shift operators acting on the space of analytic function on the unit disc. We unify the results obtained by considering intermediate notions of upper frequent hypercyclicity between the $\mathcal{U}$-frequent hypercyclicity and the hypercyclicity.Show less >

Language :

Anglais

ANR Project :

Frontières de la théorie des opérateurs

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL