Indeterminacy estimates, eigenfunctions and lower bounds on Wasserstein distances
Indeterminacy estimates, eigenfunctions and lower bounds on Wasserstein distances
Abstract In the paper we prove two inequalities in the setting of $$\mathsf {RCD}(K,\infty )$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>RCD</mml:mi> <mml:mo>(</mml:mo> <mml:mi>K</mml:mi> <mml:mo>,</mml:mo> <mml:mi>∞</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> spaces using similar techniques. The first one is an indeterminacy estimate involving the p -Wasserstein distance between the positive part and the negative part …