An Application of a Functional Inequality to Quasi-Invariance in Infinite Dimensions
An Application of a Functional Inequality to Quasi-Invariance in Infinite Dimensions
One way to interpret smoothness of a measure in infinite dimensions is quasi-invariance of the measure under a class of transformations. Usually such settings lack a reference measure such as the Lebesgue or Haar measure, and therefore we cannot use smoothness of a density with respect to such a measure. …