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Licensed Unlicensed Requires Authentication Published by De Gruyter November 20, 2019

BMO-type estimates of Riesz transforms associated with generalized Schrödinger operators

  • Yu Liu EMAIL logo and Shuai Qi

Abstract

In this paper we show that the dual Riesz transform associated with the generalized Schrödinger operator is bounded from BMO into BMO and give the Fefferman–Stein-type decomposition of BMO functions in terms of Riesz transforms.

MSC 2010: 35J10; 42B20; 42B30

Award Identifier / Grant number: 11671031

Award Identifier / Grant number: 11471018

Award Identifier / Grant number: FRF-BR-17-004B

Funding statement: Supported by the National Natural Science Foundation of China (nos. 11671031, 11471018), the Fundamental Research Funds for the Central Universities (no. FRF-BR-17-004B) and Beijing Municipal Science and Technology Project (no. Z17111000220000).

Acknowledgements

The authors are greatly indebted to the referees for their very careful reading and many valuable remarks.

References

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Received: 2017-08-08
Revised: 2018-04-24
Accepted: 2018-05-10
Published Online: 2019-11-20
Published in Print: 2021-06-01

© 2019 Walter de Gruyter GmbH, Berlin/Boston

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