SPECTRAL GAP ESTIMATE FOR STABLE PROCESSES ON ARBITRARY
BOUNDED OPEN SETS
Abstract: In the paper we prove the lower bound estimate
for the spectral gap of the Dirichlet fractional Laplacian
on an arbitrary
bounded open set .
2000 AMS Mathematics Subject Classification: Primary 47G30, 60G52.
Key words and phrases: Isotropic stable process, spectral gap.