On Lp→Lq\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L^p\rightarrow L^q$$\end{document} boundedness of the twisted convolution operators

被引：0

作者：

Arup Kumar Maity

P. K. Ratnakumar

机构：

[1] A CI of Homi Bhabha National Institute,Harish

来源：

The Journal of Analysis | 2023年 / 31卷 / 2期

关键词：

Twisted convolution; boundedness; Young’s inequality; Primary 44A35; 44A15; Secondary 42B10; 42B20;

D O I：

10.1007/s41478-022-00487-x

中图分类号：

学科分类号：

摘要：

We provide conditions for the boundedness of the twisted convolution operator T:f→f×g\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$T : f \rightarrow f \times g$$\end{document} from Lp(Cn)→Lr(Cn)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L^p({\mathbb {C}}^n) \rightarrow L^r({\mathbb {C}}^n)$$\end{document} for g∈Lq(Cn)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$g \in L^q({\mathbb {C}}^n)$$\end{document}.

引用

页码：945 / 950

页数：5