scholarly journals Properties of Isometrically Homogeneous Curves

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

scholarly journals Maximal functions associated with families of homogeneous curves: Lp bounds for P ≤ 2

2020 ◽  
Vol 63 (2) ◽  
pp. 398-412
Author(s):  
Shaoming Guo ◽  
Joris Roos ◽  
Andreas Seeger ◽  
Po-Lam Yung
Keyword(s):  
Hilbert Transform ◽  
Maximal Operator ◽  
Maximal Functions ◽  
Homogeneous Curves

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.

scholarly journals The disjoint arcs property for homogeneous curves

1995 ◽  
Vol 146 (2) ◽  
pp. 159-169
Author(s):  
Paweł Krupski
Keyword(s):  
Homogeneous Curves

scholarly journals Homogeneous curves that contain arcs

1985 ◽  
Vol 21 (1) ◽  
pp. 95-101 ◽  
Author(s):  
James T. Rogers
Keyword(s):  
Homogeneous Curves

scholarly journals Quasiconformally homogeneous curves.

1977 ◽  
Vol 24 (2) ◽  
pp. 157-159 ◽  
Author(s):  
Timo Erkama
Keyword(s):  
Homogeneous Curves

scholarly journals Maximal operators and Hilbert transforms along variable non-flat homogeneous curves

2017 ◽  
Vol 115 (1) ◽  
pp. 177-219 ◽  
Author(s):  
Shaoming Guo ◽  
Jonathan Hickman ◽  
Victor Lie ◽  
Joris Roos
Keyword(s):  
Maximal Operators ◽  
Hilbert Transforms ◽  
Homogeneous Curves

scholarly journals A maximal function for families of Hilbert transforms along homogeneous curves

2019 ◽  
Vol 377 (1-2) ◽  
pp. 69-114 ◽  
Author(s):  
Shaoming Guo ◽  
Joris Roos ◽  
Andreas Seeger ◽  
Po-Lam Yung
Keyword(s):  
Maximal Function ◽  
Hilbert Transforms ◽  
Homogeneous Curves
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