homogeneous curves
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2020 ◽  
Vol 63 (2) ◽  
pp. 398-412
Author(s):  
Shaoming Guo ◽  
Joris Roos ◽  
Andreas Seeger ◽  
Po-Lam Yung

AbstractLet M(u), H(u) be the maximal operator and Hilbert transform along the parabola (t, ut2). For U ⊂ (0, ∞) we consider Lp estimates for the maximal functions sup u∈U|M(u)f| and sup u∈U|H(u)f|, when 1 < p ≤ 2. The parabolas can be replaced by more general non-flat homogeneous curves.


2019 ◽  
Vol 377 (1-2) ◽  
pp. 69-114 ◽  
Author(s):  
Shaoming Guo ◽  
Joris Roos ◽  
Andreas Seeger ◽  
Po-Lam Yung

2017 ◽  
Vol 115 (1) ◽  
pp. 177-219 ◽  
Author(s):  
Shaoming Guo ◽  
Jonathan Hickman ◽  
Victor Lie ◽  
Joris Roos

2012 ◽  
Vol 2013 (12) ◽  
pp. 2756-2786 ◽  
Author(s):  
Enrico Le Donne
Keyword(s):  

2009 ◽  
Vol 204 (1) ◽  
pp. 57-86 ◽  
Author(s):  
Wojciech Domitrz
Keyword(s):  

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