An X-ray transform estimate in $\mathbb R^n$

Type: Article

Publication Date: 2001-08-31

Citations: 18

DOI: https://doi.org/10.4171/rmi/298

Abstract

We prove an x-ray estimate in general dimension which is a stronger version of Wolff's Kakeya estimate [12]. This generalizes the estimate in [13] which dealt with the n=3 case.

Locations

  • Revista Matemática Iberoamericana - View - PDF
  • Revista Matemática Iberoamericana - View - PDF
  • Revista Matemática Iberoamericana - View - PDF

Similar Works

Action Title Year Authors
+ An x-ray estimate in $R^n$ 1999 Izabella Łaba
Terence Tao
+ An x-ray estimate in $R^n$ 1999 Izabella Łaba
Terence Tao
+ PDF Two bounds for the X-ray transform 2009 Richard Oberlin
+ Two bounds for the x-ray transform 2006 Richard Oberlin
+ THE (d,k) KAKEYA PROBLEM AND ESTIMATES FOR THE X-RAY TRANSFORM 2007 Richard Oberlin
+ A support theorem for the X-ray transform 1992 Josip Globevnik
+ PDF A higher-dimensional version of F\'ary's theorem 2024 Karim Adiprasito
Zuzana Patáková
+ PDF An Estimate For a Restricted X-Ray Transform 2000 Daniel M. Oberlin
+ PDF An $n$-dimensional extension of Picard's theorem 1969 H. Wu
+ Sharp Sobolev regularity of restricted X-ray transforms 2021 Hyerim Ko
Sanghyuk Lee
Sewook Oh
+ A Unified Version of Ran and Reuring’s Theorem and Nieto and Rodríguez-Lopez’s Theorem and Low-Dimensional Generalizations 2016 Antonio Francisco Roldán López de Hierro
+ A three-dimensional Ambartsumian-type theorem 1992 А. Г. Рамм
Plamen Stefanov
+ PDF A uniform result in dimension 2 2018 Samy Skander Bahoura
+ PDF On the Barban-Davenport-Halberstam theorem : X 1998 C. Hooley
+ PDF Estimates for the $X$-ray transform restricted to 2-manifolds 2010 M. Burak Erdoğan
Richard Oberlin
+ A Poincaré-Birkhoff-type result in higher dimensions 2008 Maria Letizia Bertotti
Eduard Zehnder
+ KRASNOSELSKY-TYPE THEOREMS INVOLVING OUTWARD RAYS 1998 Mabel Rodríguez
+ On the upper bound for 2(x) 2003 Yingchun Cai
Minggao Lu
+ PDF Chat Sharp Sobolev regularity of restricted X-ray transforms 2023 Hyerim Ko
Sanghyuk Lee
Sewook Oh
+ On a Theorem of Arthur and Clozel 2018 Peng‐Jie Wong