SU\G(𝔸)/K·U

<i>L</i><sup><i>p</i></sup>-boundedness of the Hilbert transform and maximal function along flat curves in ℝ<sup><i>n</i></sup>

Sarah Ziesler

Type: Article

Publication Date: 1995-04-01

Citations: 0

DOI: https://doi.org/10.2140/pjm.1995.168.383

Abstract

We consider the Hubert transform and maximal function associated to a curve Γ(t) -(t, 72(ί),... , J n (t)) in E n .It is well-known that for a plane convex curve Γ(t) = (t,j(t)) these operators are bounded on L p , 1 < p < 00, if 7' doubles.We give an n-dimensional analogue, n > 2, of this result.'fc+l

Locations

  • Pacific Journal of Mathematics - View - PDF

Similar Works

Action Title Year Authors
+ PDF Chat <i>L</i><sup><i>p</i></sup>estimates for operators associated to flat curves without the Fourier transform 1995 Anthony Carbery
James Vance
Stephen Wainger
David Watson
James Wright
+ PDF Chat 𝐿^{𝑝}-boundedness of the Hilbert transform and maximal function associated to flat plane curves 1994 Sarah Ziesler
+ L p -Boundedness of the Hilbert Transform and Maximal Function Associated to Flat Plane Curves 1994 S. Ziesler
+ PDF Chat MAXIMAL OPERATORS AND HILBERT TRANSFORMS ALONG FLAT CURVES NEAR <i>L</i><sup>1</sup> 2009 Neal Bez
+ PDF Chat <i>L</i><sup><i>p</i></sup>-bounds for hypersingular integral operators along curves 1996 Sharad Chandarana
+ PDF Chat 𝐿^{𝑝} estimates for maximal functions and Hilbert transforms along flat convex curves in 𝐑² 1986 Hasse Carlsson
Michael Christ
Antonio Córdoba
Javier Duoandikoetxea
José L. Rubio de Francia
James Vance
Stephen Wainger
David A. Weinberg
+ PDF Chat Maximal functions associated with families of homogeneous curves: <i>L</i><sup><i>p</i></sup> bounds for <i>P</i> ≤ 2 2020 Shaoming Guo
Joris Roos
Andreas Seeger
Po‐Lam Yung
+ $L^p$ Boundedness of Hilbert Transforms and Maximal Functions along Variable Curves 2018 Junfeng Li
Haixia Yu
+ L<sup>2</sup> -Boundedness of Maximal Functions Associated to Convex Curves in R<sup> <i>n</i> </sup> 1995 Sarah Ziesler
+ PDF Chat Hilbert transforms and maximal functions along variable flat curves 2002 Jonathan Bennett
+ Sharp L 2 boundedness of the oscillatory hyper-Hilbert transform along curves 2010 Jie Cheng Chen
Da Shan Fan
Xiang Zhu
+ $L^p(\mathbb{R}^2)$-boundedness of Hilbert Transforms and Maximal Functions along Plane Curves with Two-variable Coefficients 2020 Naijia Liu
Liang Song
Haixia Yu
+ PDF Chat $L^p(\mathbb{R}^2)$-boundedness of Hilbert Transforms and Maximal Functions along Plane Curves with Two-variable Coefficients 2020 Naijia Liu
Liang Song
Yu Haixia
+ Sharp L2 Boundedness of Transform the Oscillatory Hyper-Hilbert along Curves 2010 Jie Jie
Cheng
Chen
Shah
Fan
■ Xiang
Rong
Zhu
+ <i>L</i><sup>2</sup> Hilbert Spaces 2015
+ PDF Chat The Hilbert transform and maximal function along nonconvex curves in the plane 1994 James Vance
Stephen Wainger
James Wright
+ <i>L</i><sup><i>p</i></sup>-spaces 2017
+ 𝐿^{𝑝} bounds for oscillatory hyper-Hilbert transform along curves 2008 Jiecheng Chen
Dashan Fan
Meng Wang
Zhu Xiang-rong
+ PDF Chat $L^p$-boundedness for the Hilbert transform and maximal operator along a class of nonconvex curves 2006 Neal Bez
+ The function spaces <i>L<sup>p</sup></i>, 1 ≤ <i>p</i> ≤ ∞ 2005 René L. Schilling

Works That Cite This (0)

Action Title Year Authors

Works Cited by This (6)

Action Title Year Authors
+ Operators associated to flat plane curves: Lp estimates via dilation methods 1989 Anthony Carbery
Michael Christ
James Vance
Stephen Wainger
David K. Watson
+ PDF Chat Problems in harmonic analysis related to curvature 1978 Elias M. Stein
Stephen Wainger
+ PDF Chat Differentiation in lacunary directions 1978 Alexander Nagel
E. M. Stein
Stephen Wainger
+ The Hilbert Transform for Convex Curves in R n 1986 Alexander Nagel
James Vance
Stephen Wainger
David A. Weinberg
+ PDF Chat Differentiation in lacunary directions and an extension of the Marcinkiewicz multiplier theorem 1988 Anthony Carbery
+ The Hilbert Transform and Maximal Function Along Flat Curves, Dilations, and Differential Equations 1994 Anthony Carbery
James Vance
Stephen Wainger
David Watson