A. Arnold, J. Bartier, J. Dolbeaut:

"Interpolation between logarithmic Sobolev and Poincaré inequalities";

in: "ASC Report 04/2007", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2007, ISBN: 978-3-902627-00-1.

This paper is concerned with intermediate inequalities which interpolate between

the logarithmic Sobolev (LSI) and the Poincar´e inequalities. Assuming that a given probability

measure gives rise to a LSI, we derive generalized Poincar´e inequalities, improving upon the known

constants from the literature. We also analyze the special case when these inequalities are restricted

to functions with zero components on the first eigenspaces of the corresponding evolution operator.

http://www.asc.tuwien.ac.at/preprint/2007/asc04x2007.pdf

Project Head Anton Arnold:

Numerik und Asymptotik mikroskopischer und makroskopischer Gleichungen für Quantensysteme

Created from the Publication Database of the Vienna University of Technology.