A. Russanov

The stability of Sharp Poincar\'e and Brascamp--Lieb inequalities with full monomial weights

It was known that the Gaussian measures with monomial weights satisfy the sharp pointwise curvature-dimension condition $CD(1, \infty)$, and consequently they allow us to derive the sharp constant $1$ for the Poincar\'e inequality only with partial monomial weights. In this paper, we first establish the Gaussian measur...