全域维纳汞齐空间上的薛定谔传播者

IF 0.8 2区数学 Q2 MATHEMATICS

Nagoya Mathematical Journal Pub Date : 2024-08-27 DOI:10.1017/nmj.2024.14

GUOPING ZHAO, WEICHAO GUO

引用次数: 0

摘要

利用 Gabor 分析技术，我们描述了 $e^{i\Delta } 的有界性：W^{p_1,q_1}_m\rightarrow W^{p_2,q_2}$带有调制和平移算子，其中m是v-中权重。在幂权的情况下，有界性的尖锐指数也是有特征的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

SCHRÖDINGER PROPAGATOR ON WIENER AMALGAM SPACES IN THE FULL RANGE

Using the technique of Gabor analysis, we characterize the boundedness of

$e^{i\Delta }: W^{p_1,q_1}_m\rightarrow W^{p_2,q_2}$

with modulation and translation operators, where and m is a v-moderate weight. The sharp exponents for the boundedness are also characterized in the case of power weight.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Nagoya Mathematical Journal 数学-数学

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： The Nagoya Mathematical Journal is published quarterly. Since its formation in 1950 by a group led by Tadashi Nakayama, the journal has endeavoured to publish original research papers of the highest quality and of general interest, covering a broad range of pure mathematics. The journal is owned by Foundation Nagoya Mathematical Journal, which uses the proceeds from the journal to support mathematics worldwide.