Computations and global properties for traces of Bessel’s Dirichlet form

Abstract

By an approximation method we compute explicitly traces of the Dirichlet form related to the Bessel process with respect to discrete measures as well as measures of mixed type. Then some global properties of the obtained Dirichlet forms, such as conservativeness, irreducibility and compact embedding for their domains are discussed.

Mathematics Subject Classification (2010):

• 47A07
• 46C05
• 46C07

Key words:

• Dirichlet form
• conservativeness
• graph