Schrodinger group and function spaces

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:433

Article

Youssfi, Abdellah

关键词: Schrodinger group;    Function spaces;   

DOI  :  10.1016/j.jmaa.2015.07.060

来源: Elsevier

【 摘 要 】

Let theta is an element of R, 1 <= p < + infinity and consider the Schrodinger group U(t) = e(it Delta) In this study, our main goal is to investigate the space E-p(theta) of distributions f on R-n that satisfy sup(t>0)[t(theta)parallel to U(t)(f)parallel to(p)] <+ infinity and their relation with the standard Besov spaces. We also prove some results related to the Schrodinger equation. (C) 2015 Published by Elsevier Inc.

【 授权许可】

Free