Singular Radon transforms and maximal functions under convexity assumptions.

Andreas Seeger; Stephen Wainger

Revista Matemática Iberoamericana (2003)

  • Volume: 19, Issue: 3, page 1019-1044
  • ISSN: 0213-2230

Abstract

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We prove variable coefficient analogues of results in [5] on Hilbert transforms and maximal functions along convex curves in the plane.

How to cite

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Seeger, Andreas, and Wainger, Stephen. "Singular Radon transforms and maximal functions under convexity assumptions.." Revista Matemática Iberoamericana 19.3 (2003): 1019-1044. <http://eudml.org/doc/39638>.

@article{Seeger2003,
abstract = {We prove variable coefficient analogues of results in [5] on Hilbert transforms and maximal functions along convex curves in the plane.},
author = {Seeger, Andreas, Wainger, Stephen},
journal = {Revista Matemática Iberoamericana},
keywords = {Análisis de Fourier; Integrales singulares; Acotación; Operadores maximales; Transformada de Radon; Transformada de Hilbert; Funciones cuasimonótonas; singular Radon transforms; Hilbert transforms along curves; angular Littlewood-Paley decomposition; -boundedness},
language = {eng},
number = {3},
pages = {1019-1044},
title = {Singular Radon transforms and maximal functions under convexity assumptions.},
url = {http://eudml.org/doc/39638},
volume = {19},
year = {2003},
}

TY - JOUR
AU - Seeger, Andreas
AU - Wainger, Stephen
TI - Singular Radon transforms and maximal functions under convexity assumptions.
JO - Revista Matemática Iberoamericana
PY - 2003
VL - 19
IS - 3
SP - 1019
EP - 1044
AB - We prove variable coefficient analogues of results in [5] on Hilbert transforms and maximal functions along convex curves in the plane.
LA - eng
KW - Análisis de Fourier; Integrales singulares; Acotación; Operadores maximales; Transformada de Radon; Transformada de Hilbert; Funciones cuasimonótonas; singular Radon transforms; Hilbert transforms along curves; angular Littlewood-Paley decomposition; -boundedness
UR - http://eudml.org/doc/39638
ER -

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