Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

On the images of Sobolev spaces under the Schrödinger semigroup

On the images of Sobolev spaces under the Schrödinger semigroup AbstractIn this article, we consider the Schrödinger semigroup for the Laplacian Δ on ℝn{\mathbb{R}^{n}}, and characterizethe image of a Sobolev space in L2⁢(ℝn,eu2⁢d⁢u){L^{2}(\mathbb{R}^{n},e^{u^{2}}du)}under this semigroup as weighted Bergman space (up to equivalence of norms). Also we have a similar characterization for Hermite Sobolev spaces under the Schrödinger semigroup associated to the Hermite operator H on ℝn{\mathbb{R}^{n}}. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Advances in Pure and Applied Mathematics de Gruyter

On the images of Sobolev spaces under the Schrödinger semigroup

Loading next page...
 
/lp/de-gruyter/on-the-images-of-sobolev-spaces-under-the-schr-dinger-semigroup-Te0n5q0LJO

References (14)

Publisher
de Gruyter
Copyright
© 2018 Walter de Gruyter GmbH, Berlin/Boston
ISSN
1869-6090
eISSN
1869-6090
DOI
10.1515/apam-2016-0116
Publisher site
See Article on Publisher Site

Abstract

AbstractIn this article, we consider the Schrödinger semigroup for the Laplacian Δ on ℝn{\mathbb{R}^{n}}, and characterizethe image of a Sobolev space in L2⁢(ℝn,eu2⁢d⁢u){L^{2}(\mathbb{R}^{n},e^{u^{2}}du)}under this semigroup as weighted Bergman space (up to equivalence of norms). Also we have a similar characterization for Hermite Sobolev spaces under the Schrödinger semigroup associated to the Hermite operator H on ℝn{\mathbb{R}^{n}}.

Journal

Advances in Pure and Applied Mathematicsde Gruyter

Published: Jan 1, 2019

There are no references for this article.