Matrix inequalities and convex functions constitute a central theme in modern mathematical analysis, with far‐reaching implications across numerical analysis, optimisation, quantum information, and ...
We show that for a hypoelliptic Dirichlet form operator 𝐴 on a stratified complex Lie group, if the logarithmic Sobolev inequality holds, then a holomorphic projection of 𝐴 is strongly ...
Variational Formulas and Explicit Bounds of Poincaré-Type Inequalities for One-Dimensional Processes
Lecture Notes-Monograph Series, Vol. 41, Probability, Statistics and Their Applications: Papers in Honor of Rabi Bhattacharya (2003), pp. 81-96 (16 pages) This paper serves as a quick and elementary ...
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