Contributions to Books:

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.

English abstract:
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.

Electronic version of the publication:

Related Projects:
Project Head Anton Arnold:
Numerik und Asymptotik mikroskopischer und makroskopischer Gleichungen für Quantensysteme

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