2 papers
math.FA2025
Generalized Blaschke--Santaló-type inequalities, without symmetry restrictions
Thomas A. Courtade, Edric Wang
Nakamura and Tsuji (2024) recently investigated a many-function generalization of the functional Blaschke--Santaló inequality, which they refer to as a generalized Legendre duality…
math.FA2025
Subadditivity of the log-Sobolev constant on convolutions
Thomas A. Courtade, Edric Wang
We present a general subadditivity inequality for log-Sobolev constants of convolution measures. As a corollary, we show that the log-Sobolev constant is monotone along the sequenc…