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Endpoint estimates for multilinear singular integral operators

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Published/Copyright: October 11, 2016
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Abstract

In this paper, we establish three kinds of endpoint estimates for a class of multilinear singular integral operators and obtain the boundedness of this kind of multilinear singular integral operators on the product of BMO spaces, product of LMO spaces, and product of λ-central BMO spaces, respectively. Moreover, as special cases, the corresponding results of multilinear Calderón–Zygmund operators can be deduced.

MSC 2010: 42B20; 42B35

Award Identifier / Grant number: 11001266

Award Identifier / Grant number: 11171345

Funding statement: This research was supported by the National Natural Science Foundation of China (nos. 11001266 and 11171345), Beijing Higher Education Young Elite Teacher Project (YETP0946), and the Fundamental Research Funds for the Central Universities (2009QS16).

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Received: 2014-9-26
Accepted: 2015-6-15
Published Online: 2016-10-11
Published in Print: 2016-12-1

© 2016 by De Gruyter

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