A Stein conjecture for the circle

Jonathan Bennett; Anthony Carbery; Fernando Soria; Ana Vargas

doi:10.1007/s00208-006-0019-5

A Stein conjecture for the circle

Jonathan Bennett, Anthony Carbery, Fernando Soria, Ana Vargas

School of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract / Description of output

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 - Nov 2006

Keywords / Materials (for Non-textual outputs)

WEIGHTED NORM INEQUALITIES
LOCALIZATION
OPERATORS

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10.1007/s00208-006-0019-5

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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.",

keywords = "WEIGHTED NORM INEQUALITIES, LOCALIZATION, OPERATORS",

author = "Jonathan Bennett and Anthony Carbery and Fernando Soria and Ana Vargas",

year = "2006",

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AU - Carbery, Anthony

AU - Soria, Fernando

AU - Vargas, Ana

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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.

KW - WEIGHTED NORM INEQUALITIES

KW - LOCALIZATION

KW - OPERATORS

U2 - 10.1007/s00208-006-0019-5

DO - 10.1007/s00208-006-0019-5

M3 - Article

SN - 0025-5831

VL - 336

SP - 671

EP - 695

JO - Mathematische annalen

JF - Mathematische annalen

IS - 3

ER -

A Stein conjecture for the circle

Abstract / Description of output

Keywords / Materials (for Non-textual outputs)

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