Estimates for a family of multi-linear forms

Zhongyi Nie; Russell M. Brown

doi:10.1016/j.jmaa.2010.09.070

Estimates for a family of multi-linear forms

Zhongyi Nie
, Russell M. Brown

Mathematics

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

8 Scopus citations

Abstract

We consider a special class of the multi-linear forms studied by Brascamp and Lieb (1976) [7]. For these forms, we give a characterization of the L^p spaces for which the form is bounded. This characterization appears in earlier work of Barthe (1998) [1]. We use this characterization to study a non-linear map that arises in scattering theory.

Original language	English
Pages (from-to)	79-87
Number of pages	9
Journal	Journal of Mathematical Analysis and Applications
Volume	377
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2010.09.070
State	Published - May 1 2011

Keywords

Multi-linear interpolation
Scattering theory

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jmaa.2010.09.070

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title = "Estimates for a family of multi-linear forms",

abstract = "We consider a special class of the multi-linear forms studied by Brascamp and Lieb (1976) [7]. For these forms, we give a characterization of the Lp spaces for which the form is bounded. This characterization appears in earlier work of Barthe (1998) [1]. We use this characterization to study a non-linear map that arises in scattering theory.",

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AU - Nie, Zhongyi

AU - Brown, Russell M.

PY - 2011/5/1

Y1 - 2011/5/1

N2 - We consider a special class of the multi-linear forms studied by Brascamp and Lieb (1976) [7]. For these forms, we give a characterization of the Lp spaces for which the form is bounded. This characterization appears in earlier work of Barthe (1998) [1]. We use this characterization to study a non-linear map that arises in scattering theory.

AB - We consider a special class of the multi-linear forms studied by Brascamp and Lieb (1976) [7]. For these forms, we give a characterization of the Lp spaces for which the form is bounded. This characterization appears in earlier work of Barthe (1998) [1]. We use this characterization to study a non-linear map that arises in scattering theory.

KW - Multi-linear interpolation

KW - Scattering theory

UR - https://www.scopus.com/pages/publications/78651243306

UR - https://www.scopus.com/pages/publications/78651243306#tab=citedBy

U2 - 10.1016/j.jmaa.2010.09.070

DO - 10.1016/j.jmaa.2010.09.070

M3 - Article

AN - SCOPUS:78651243306

SN - 0022-247X

VL - 377

SP - 79

EP - 87

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

Estimates for a family of multi-linear forms

Abstract

Keywords

ASJC Scopus subject areas

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