A Stein Conjecture for the Circle

Jonathan Bennett; A Carbery; F Soria; A Vargas

doi:10.1007/s00208-006-0019-5

A Stein Conjecture for the Circle

Jonathan Bennett, A Carbery, F Soria, A Vargas

Mathematics

Research output: Contribution to journal › Article

15 Citations (Scopus)

Abstract

We discuss the manner in which one might expect directional maximal functions to control the Fourier extension operator via L-2 weighted inequalities. We prove a general inequality of this type for the extension operator restricted to circles in the plane.

Original language	English
Pages (from-to)	671-695
Number of pages	25
Journal	Mathematische Annalen
Volume	336
Issue number	3
DOIs	https://doi.org/10.1007/s00208-006-0019-5
Publication status	Published - 1 Nov 2006

Access to Document

10.1007/s00208-006-0019-5

Cite this

@article{b09e5820ac3d48708dc24ebf353daa43,

title = "A Stein Conjecture for the Circle",

abstract = "We discuss the manner in which one might expect directional maximal functions to control the Fourier extension operator via L-2 weighted inequalities. We prove a general inequality of this type for the extension operator restricted to circles in the plane.",

author = "Jonathan Bennett and A Carbery and F Soria and A Vargas",

year = "2006",

month = nov,

day = "1",

doi = "10.1007/s00208-006-0019-5",

language = "English",

volume = "336",

pages = "671--695",

journal = "Mathematische Annalen",

issn = "1432-1807",

publisher = "Springer",

number = "3",

}

TY - JOUR

T1 - A Stein Conjecture for the Circle

AU - Bennett, Jonathan

AU - Carbery, A

AU - Soria, F

AU - Vargas, A

PY - 2006/11/1

Y1 - 2006/11/1

N2 - We discuss the manner in which one might expect directional maximal functions to control the Fourier extension operator via L-2 weighted inequalities. We prove a general inequality of this type for the extension operator restricted to circles in the plane.

AB - We discuss the manner in which one might expect directional maximal functions to control the Fourier extension operator via L-2 weighted inequalities. We prove a general inequality of this type for the extension operator restricted to circles in the plane.

UR - http://www.scopus.com/inward/record.url?scp=33748853144&partnerID=8YFLogxK

U2 - 10.1007/s00208-006-0019-5

DO - 10.1007/s00208-006-0019-5

M3 - Article

SN - 1432-1807

VL - 336

SP - 671

EP - 695

JO - Mathematische Annalen

JF - Mathematische Annalen

IS - 3

ER -

A Stein Conjecture for the Circle

Abstract

Access to Document

Fingerprint

Cite this