Strong variational and jump inequalities in harmonic analysis

Roger L. Jones; Andreas Seeger; James Wright

doi:10.1090/S0002-9947-08-04538-8

Strong variational and jump inequalities in harmonic analysis

Roger L. Jones, Andreas Seeger, James Wright

School of Mathematics

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

Abstract / Description of output

We prove variational and jump inequalities for a large class of linear operators arising in harmonic analysis.

Original language	English
Pages (from-to)	6711-6742
Number of pages	32
Journal	Transactions of the American Mathematical Society
Volume	360
Issue number	12
DOIs	https://doi.org/10.1090/S0002-9947-08-04538-8
Publication status	Published - Jul 2008

Keywords / Materials (for Non-textual outputs)

SINGULAR INTEGRAL-OPERATORS
WEAK TYPE 1
MAXIMAL FUNCTIONS
ERGODIC-THEORY
P-VARIATION
FOURIER MULTIPLIERS
HIGHER DIMENSIONS
ROUGH OPERATORS
SPHERICAL MEANS
OSCILLATION

Access to Document

10.1090/S0002-9947-08-04538-8

Strong variational and jump inequalities in harmonic analysisAccepted author manuscript, 854 KB

http://www.ams.org/journals/tran/2008-360-12/S0002-9947-08-04538-8/home.html

Degenerate Oscillatory Integral Operators
Wright, J.
EPSRC
1/01/06 → 31/03/09
Project: Research

Cite this

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title = "Strong variational and jump inequalities in harmonic analysis",

abstract = "We prove variational and jump inequalities for a large class of linear operators arising in harmonic analysis.",

keywords = "SINGULAR INTEGRAL-OPERATORS, WEAK TYPE 1, MAXIMAL FUNCTIONS, ERGODIC-THEORY, P-VARIATION, FOURIER MULTIPLIERS, HIGHER DIMENSIONS, ROUGH OPERATORS, SPHERICAL MEANS, OSCILLATION",

author = "Jones, {Roger L.} and Andreas Seeger and James Wright",

year = "2008",

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AU - Seeger, Andreas

AU - Wright, James

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KW - SINGULAR INTEGRAL-OPERATORS

KW - WEAK TYPE 1

KW - MAXIMAL FUNCTIONS

KW - ERGODIC-THEORY

KW - P-VARIATION

KW - FOURIER MULTIPLIERS

KW - HIGHER DIMENSIONS

KW - ROUGH OPERATORS

KW - SPHERICAL MEANS

KW - OSCILLATION

U2 - 10.1090/S0002-9947-08-04538-8

DO - 10.1090/S0002-9947-08-04538-8

M3 - Article

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VL - 360

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EP - 6742

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

IS - 12

ER -

Strong variational and jump inequalities in harmonic analysis

Abstract / Description of output

Keywords / Materials (for Non-textual outputs)

Access to Document

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Projects

Degenerate Oscillatory Integral Operators

Cite this