Hunt's hypothesis (H) and triangle property of the Green function

Abstrakt

In a locally compact abelian group with a Green function satisfying the local triangle property, it is shown that the Hunt's hypothesis (H) holds, that is, every semipolar set is polar. The setting includes many Lévy processes.

Klíčová slova

• Hunt process
• Levy process
• Balayage space
• Green function
• 3G-property
• Continuity principle
• Polar set
• Semipolar set
• Hypothesis (H)