Two-Wavelet Multipliers on the Dual of the Laguerre Hypergroup and Applications

2019 ◽  
Vol 16 (5) ◽  
Author(s):  
Hatem Mejjaoli ◽  
Khalifa Trimèche
Keyword(s):  
Laguerre Hypergroup ◽  
Wavelet Multipliers

scholarly journals $L^{p}$-boundedness of wavelet multipliers

2004 ◽  
Vol 33 (3) ◽  
pp. 637-645 ◽  
Author(s):  
Bolin MA ◽  
M.W. WONG
Keyword(s):  
Wavelet Multipliers

The Weak Type (1, 1) Estimates of Maximal Functions on the Laguerre Hypergroup

2010 ◽  
Vol 53 (3) ◽  
pp. 491-502 ◽  
Author(s):  
Jizheng Huang ◽  
Liu Heping
Keyword(s):  
Maximal Function ◽  
Weak Type ◽  
Maximal Functions ◽  
Laguerre Hypergroup ◽  
Littlewood Maximal Function

AbstractIn this paper, we discuss various maximal functions on the Laguerre hypergroup K including the heat maximal function, the Poisson maximal function, and the Hardy–Littlewood maximal function which is consistent with the structure of hypergroup of K. We shall establish the weak type (1, 1) estimates for these maximal functions. The Lp estimates for p > 1 follow fromthe interpolation. Some applications are included.

scholarly journals Wavelet multipliers on $L^p(\mathbb{R}^n)$

2007 ◽  
Vol 136 (03) ◽  
pp. 1009-1019 ◽  
Author(s):  
Yu Liu ◽  
Alip Mohammed ◽  
M. W. Wong
Keyword(s):  
Wavelet Multipliers
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