On the spectrum of Volterra-type integral operators on Fock--Sobolev spaces

2016/12/19 by Mengestie, Tesfa
#Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1612.06307

Abstract

We determine the spectrum of the Voltterra-type integral operators V_g on the growth type Fock--Sobolev spaces F_ψm^∞. We also characterized the bounded and compact spectral properties of the operators in terms of function-theoretic properties of the inducing map g. As a means to prove our main results, we first described the spaces in terms of Littlewood--Paley type formula which is interest of its own.

Related

• Spectral properties of Volterra-type integral operators on Fock--Sobolev spaces
• The Spectrum of Volterra-type integration operators on generalized Fock spaces
• Generalized Volterra companion operators on Fock spaces
• Path connected components of the space of Volterra-type integral operators
• Integral, differential and multiplication operators on generalized Fock spaces