The Continuous Quaternion Wavelet Transform on Function Spaces

被引：0
|
作者：
Lhamu, Drema [1 ]
Singh, Sunil Kumar [2 ]
Pandey, C. P. [3 ]
机构：
[1] Jawaharlal Nehru Coll, Dept Math, Pasighat 791102, Arunachal Prade, India
[2] Babasaheb Bhimrao Ambedkar Univ, Dept Math, Lucknow 226025, Uttar Pradesh, India
[3] North Eastern Reg Inst Sci & Technol, Dept Math, Nirjuli 791109, Arunachal Prade, India
来源：
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2024年 / 42卷
关键词：
Quaternions; continuous quaternion wavelet transform; Besov space; Hardy space; BMO space; 2-DIMENSIONAL DIRECTIONAL WAVELETS;
D O I：
10.5269/bspm.63502
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, boundedness results for the continuous quaternion wavelet transform on Besov, BMO and Hardy H p spaces are established. Furthermore, the continuous quaternion wavelet transform is also studied on the weighted Besov, BMO k and H k p spaces associated with a tempered weighted function.
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页数：11
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