Hausdorff operators on modulation and Wiener amalgam spaces

Guoping Zhao; Dashan Fan; Weichao Guo

doi:10.1215/20088752-2017-0055

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Home > Journals > Ann. Funct. Anal. > Volume 9 > Issue 3 > Article

August 2018 Hausdorff operators on modulation and Wiener amalgam spaces

Guoping Zhao, Dashan Fan, Weichao Guo

Ann. Funct. Anal. 9(3): 398-412 (August 2018). DOI: 10.1215/20088752-2017-0055

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Abstract

We give sharp conditions for boundedness of Hausdorff operators on certain modulation and Wiener amalgam spaces.

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Guoping Zhao. Dashan Fan. Weichao Guo. "Hausdorff operators on modulation and Wiener amalgam spaces." Ann. Funct. Anal. 9 (3) 398 - 412, August 2018. https://doi.org/10.1215/20088752-2017-0055

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Received: 19 June 2017; Accepted: 27 August 2017; Published: August 2018

First available in Project Euclid: 6 February 2018

zbMATH: 06946364

MathSciNet: MR3835227

Digital Object Identifier: 10.1215/20088752-2017-0055

Subjects:

Primary: 42B35

Secondary: 47G10

Keywords: Hausdorff operator , modulation space , sharp conditions , Wiener amalgam space

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Vol.9 • No. 3 • August 2018

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Guoping Zhao, Dashan Fan, Weichao Guo "Hausdorff operators on modulation and Wiener amalgam spaces," Annals of Functional Analysis, Ann. Funct. Anal. 9(3), 398-412, (August 2018)

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