Boundedness of the Segal-Bargmann Transform on Fractional Hermite-Sobolev Spaces. (19th January 2017)

• Record Type: Journal Article
• Authors: Cho, Hong Rae; Choi, Hyunil; Lee, Han-Wool
• Other Names: Kokilashvili Vakhtang M. Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2017(2017)
• Publication Date: 2017-01-19
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2017/9176914
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : Let s ∈ R and 2 ≤ p ≤ ∞ . We prove that the Segal-Bargmann transform B is a bounded operator from fractional Hermite-Sobolev spaces W H s, p R n to fractional Fock-Sobolev spaces F R s, p .