Rearrangement inequalities with application to ratios of heat kernels
By using the way of real analysis and the polarization technique, the rearrangement inequalities for multiple integrals are proved. Polarization refers to rearranging a function with respect to a hyperplane. Then, using the polarization inequalities, sharp inequalities for ratios of integrals of heat kernels of Schrödinger operators are derived. These ratio inequalities imply inequalities for the partition functions and extend the results of R. Banuelos, P. J. Mendez-Hernandez and D. You.
scientific article; zbMATH DE number 2164830