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

School of Mathematical Sciences

Beijing Normal University
Wayne State University

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

32 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	567-597
Number of pages	31
Journal	Bulletin de la Societe Mathematique de France
Volume	143
Issue number	3
DOIs	https://doi.org/10.24033/bsmf.2698
State	Published - 2015

Keywords

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

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10.24033/bsmf.2698

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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.",

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AU - Lu, Guozhen

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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

U2 - 10.24033/bsmf.2698

DO - 10.24033/bsmf.2698

M3 - 文章

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SN - 0037-9484

VL - 143

SP - 567

EP - 597

JO - Bulletin de la Societe Mathematique de France

JF - Bulletin de la Societe Mathematique de France

IS - 3

ER -

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

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Keywords

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