scholarly journals Bilinear Hilbert transforms and (sub)bilinear maximal functions along convex curves

2021 ◽  
Vol 310 (2) ◽  
pp. 375-446
Author(s):  
Junfeng Li ◽  
Haixia Yu
Keyword(s):  
Maximal Functions ◽  
Hilbert Transforms ◽  
Convex Curves

scholarly journals $L^p $ estimates for maximal functions and Hilbert transforms along flat convex curves in ${\mathbf{R}}^2 $

1986 ◽  
Vol 14 (2) ◽  
pp. 263-268 ◽  
Author(s):  
Hasse Carlsson ◽  
Michael Christ ◽  
Antonio Cordoba ◽  
Javier Duoandikoetxea ◽  
Jose L. Rubio de Francia ◽  
...  
Keyword(s):  
Maximal Functions ◽  
Hilbert Transforms ◽  
Convex Curves

Hilbert transforms for convex curves

1983 ◽  
Vol 50 (3) ◽  
pp. 735-744 ◽  
Author(s):  
Alexander Nagel ◽  
James Vance ◽  
Stephen Wainger ◽  
David Weinberg
Keyword(s):  
Hilbert Transforms ◽  
Convex Curves

Maximal functions for convex curves

1985 ◽  
Vol 52 (3) ◽  
pp. 715-722 ◽  
Author(s):  
Alexander Nagel ◽  
James Vance ◽  
Stephen Wainger ◽  
David Weinberg
Keyword(s):  
Maximal Functions ◽  
Convex Curves

scholarly journals Hilbert Transforms along Convex Curves for lq-Valued Functions

2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
Honghai Liu
Keyword(s):  
Large Class ◽  
Hilbert Transforms ◽  
Convex Curves

We show that Hilbert transforms along a large class of convex curves are bounded on Lp(ℝ2,lq), where 5/3<p, q<5/2.

scholarly journals Maximal functions and Hilbert Transforms along variable flat curves

1999 ◽  
Vol 6 (2) ◽  
pp. 237-249 ◽  
Author(s):  
Anthony Carbery ◽  
Sonsoles Pérez
Keyword(s):  
Maximal Functions ◽  
Hilbert Transforms
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