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Bi-parameter and bilinear Calderón–Vaillancourt theorem with subcritical order

  • Guozhen Lu and Lu Zhang EMAIL logo
Published/Copyright: June 8, 2016

Abstract

The main purpose of this paper is to establish a Calderón–Vaillancourt-type theorem on Lp estimates for bi-parameter and bilinear pseudo-differential operators with subcritical order.

MSC 2010: 42B15; 42B20

Communicated by Christopher D. Sogge


Award Identifier / Grant number: DMS#1301595

Funding statement: Research of this work is partly supported by an NSF grant DMS#1301595 and a Simons Fellowship from the Simons Foundation.

Acknowledgements

The authors wish to thank the referee for his/her very careful reading of the paper and for having made some very valuable comments which improved the exposition of the paper and also helped us to simplify the proof of Theorem 3.2.

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Received: 2015-8-20
Revised: 2016-2-4
Published Online: 2016-6-8
Published in Print: 2016-11-1

© 2016 by De Gruyter

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