Sharp inequalities for ratios of partition functions of Schrodinger operators

摘要

This paper derives inequalities for multiple integrals from which inequalities for ratios of integrals of heat kernels of certain Schrodinger operators follows. Such ratio inequalities imply inequalities for the partition functions of these operators which extend the spectral gap results proved by R. Banuelos and P. Mendez-Hernandez and B. Davis. [References: 14]