Wavelet multiplier associated with the Watson transform

被引：0
|
作者：
Shukla, Pragya [1 ]
Upadhyay, S. K. [1 ]
机构：
[1] Indian Inst Technol BHU, Dept Math Sci, Varanasi, Uttar Pradesh, India
来源：
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2023年 / 117卷 / 01期
关键词：
Pseudo-differential operators; Watson transform; Hilbert-Schmidt operator; Compact operator; Landau-Pollak Slepian operator; Trace class; BOUNDEDNESS;
D O I：
10.1007/s13398-022-01342-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the L-p-boundedness, compactness and Hilbert-Schmidt class of wavelet multiplier associated with the Watson transform are investigated and its various properties studied. Landau-Pollak Slepian operator associated with the Watson transform is discussed as an application of wavelet multiplier. The relation between Watson wavelet multipliers and Sobolev space is given and trace class is introduced.
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收藏
页数：21
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