# Computations and global properties for traces of Bessel's Dirichlet form

## TL;DR

This paper explicitly computes traces of Bessel process-related Dirichlet forms with respect to various measures and analyzes their global properties like conservativeness and irreducibility.

## Contribution

It provides explicit calculations of traces of Dirichlet forms for Bessel processes and investigates their fundamental global properties.

## Key findings

- Explicit formulas for traces of Dirichlet forms
- Analysis of conservativeness and irreducibility
- Conditions for compact embedding of domains

## Abstract

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.