Lp estimates for multi-linear and multi-parameter pseudo-differential operators

Wei Dai; Guozhen Lu

doi:10.24033/bsmf.2698

L^p estimates for multi-linear and multi-parameter pseudo-differential operators

Wei Dai
, Guozhen Lu

数学科学学院

Beijing Normal University
Wayne State University

科研成果: 期刊稿件 › 文章 › 同行评审

32 引用（Scopus）

摘要

We establish the pseudo-differential variant of the L^p estimates for multi-linear and multi-parameter Coifman-Meyer multiplier operators proved by C. Muscalu, J. Pipher, T. Tao and C. Thiele in [21, 22]. This gives an affirmative answer to the question, raised in the book of C. Muscalu and W. Schlag [23], on whether the L^p estimates for multi-linear and multi-parameter pseudo-differential operators hold.

源语言	英语
页（从-至）	567-597
页数	31
期刊	Bulletin de la Societe Mathematique de France
卷	143
期	3
DOI	https://doi.org/10.24033/bsmf.2698
出版状态	已出版 - 2015

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abstract = "We establish the pseudo-differential variant of the Lp estimates for multi-linear and multi-parameter Coifman-Meyer multiplier operators proved by C. Muscalu, J. Pipher, T. Tao and C. Thiele in [21, 22]. This gives an affirmative answer to the question, raised in the book of C. Muscalu and W. Schlag [23], on whether the Lp estimates for multi-linear and multi-parameter pseudo-differential operators hold.",

keywords = "Coifman-Meyer theorem, L estimates, Multi-linear and multi-parameter pseudo-differential operators, One-parameter and multi-parameter paraproducts",

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AU - Dai, Wei

AU - Lu, Guozhen

N1 - Publisher Copyright: © Société Mathématique de France 2015.

PY - 2015

Y1 - 2015

N2 - We establish the pseudo-differential variant of the Lp estimates for multi-linear and multi-parameter Coifman-Meyer multiplier operators proved by C. Muscalu, J. Pipher, T. Tao and C. Thiele in [21, 22]. This gives an affirmative answer to the question, raised in the book of C. Muscalu and W. Schlag [23], on whether the Lp estimates for multi-linear and multi-parameter pseudo-differential operators hold.

AB - We establish the pseudo-differential variant of the Lp estimates for multi-linear and multi-parameter Coifman-Meyer multiplier operators proved by C. Muscalu, J. Pipher, T. Tao and C. Thiele in [21, 22]. This gives an affirmative answer to the question, raised in the book of C. Muscalu and W. Schlag [23], on whether the Lp estimates for multi-linear and multi-parameter pseudo-differential operators hold.

KW - Coifman-Meyer theorem

KW - L estimates

KW - Multi-linear and multi-parameter pseudo-differential operators

KW - One-parameter and multi-parameter paraproducts

UR - https://www.scopus.com/pages/publications/84952023012

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M3 - 文章

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VL - 143

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EP - 597

JO - Bulletin de la Societe Mathematique de France

JF - Bulletin de la Societe Mathematique de France

IS - 3

ER -

Lp estimates for multi-linear and multi-parameter pseudo-differential operators

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L^p estimates for multi-linear and multi-parameter pseudo-differential operators