Image of \(L^{p}(\mathbb R^{n})\) under the Hermite semigroup
The image of the weighted \(L^{p}(\mathbb R^{n})\) space under the Hermite polynomial semigroup \(\{e^{-t\mathbb H}: t>0\}\) is investigated. A necessary and sufficient condition is obtained for the image of the weighted \(L^{2}(\mathbb R^{n})\) space.
scientific article; zbMATH DE number 5534772
scientific article