A Hardy–Littlewood Maximal Operator for the Generalized Fourier Transform on $${\mathbb {R}}$$R

2019 ◽  
Vol 30 (2) ◽  
pp. 2273-2289 ◽  
Author(s):  
Salem Ben Saïd ◽  
Luc Deleaval
Keyword(s):  
Fourier Transform ◽  
Maximal Operator ◽  
Generalized Fourier Transform ◽  
Littlewood Maximal Operator

On the regularity of the Hardy-Littlewood maximal operator on subdomains of ℝn

2010 ◽  
Vol 53 (1) ◽  
pp. 211-237 ◽  
Author(s):  
Hannes Luiro
Keyword(s):  
Maximal Operator ◽  
Littlewood Maximal Operator

AbstractWe establish the continuity of the Hardy-Littlewood maximal operator on W1,p(Ω), where Ω ⊂ ℝn is an arbitrary subdomain and 1 < p < ∞. Moreover, boundedness and continuity of the same operator is proved on the Triebel-Lizorkin spaces Fps,q (Ω) for 1 < p,q < ∞ and 0 < s < 1.

scholarly journals The Boundedness of the Hardy-Littlewood Maximal Operator and Multilinear Maximal Operator in Weighted Morrey Type Spaces

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Takeshi Iida
Keyword(s):  
Maximal Function ◽  
Maximal Operator ◽  
Morrey Spaces ◽  
Weighted Morrey Spaces ◽  
Type Spaces ◽  
Multilinear Maximal Function ◽  
Multilinear Maximal Operator ◽  
Littlewood Maximal Operator

The aim of this paper is to prove the boundedness of the Hardy-Littlewood maximal operator on weighted Morrey spaces and multilinear maximal operator on multiple weighted Morrey spaces. In particular, the result includes the Komori-Shirai theorem and the Iida-Sato-Sawano-Tanaka theorem for the Hardy-Littlewood maximal operator and multilinear maximal function.

scholarly journals A generalized Fourier transform approach to risk measures

2010 ◽  
Vol 2010 (01) ◽  
pp. P01005 ◽  
Author(s):  
Giacomo Bormetti ◽  
Valentina Cazzola ◽  
Giacomo Livan ◽  
Guido Montagna ◽  
Oreste Nicrosini
Keyword(s):  
Fourier Transform ◽  
Risk Measures ◽  
Generalized Fourier Transform
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