Rate of growth of hypercyclic and frequently hypercyclic functions for the Dunkl operator

Luis Bernal-Gonzalez, Antonio Bonilla

For the Dunkl operator ${\Lambda }_{\alpha }$ $(\alpha >-1/2)$ on the space of entire functions on the complex space C, the critical rate of growth for the integral means $M_p(f,r)$ of their hypercyclic…