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August 2019 Characterizations of Some Properties on Weighted Modulation and Wiener Amalgam Spaces
Weichao Guo, Jiecheng Chen, Dashan Fan, Guoping Zhao
Michigan Math. J. 68(3): 451-482 (August 2019). DOI: 10.1307/mmj/1552442712

Abstract

In this paper, we characterize some properties on weighted modulation and Wiener amalgam spaces by the corresponding properties on weighted Lebesgue spaces. As applications, we obtain sharp conditions for product inequalities, convolution inequalities, and embedding on weighted modulation and Wiener amalgam spaces. By a unified approach different from others we give a complete answer to the question of finding sharp conditions of certain relations on weighted modulation and Wiener amalgam spaces.

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Weichao Guo. Jiecheng Chen. Dashan Fan. Guoping Zhao. "Characterizations of Some Properties on Weighted Modulation and Wiener Amalgam Spaces." Michigan Math. J. 68 (3) 451 - 482, August 2019. https://doi.org/10.1307/mmj/1552442712

Information

Received: 6 June 2017; Revised: 14 March 2018; Published: August 2019
First available in Project Euclid: 13 March 2019

zbMATH: 07130695
MathSciNet: MR3990167
Digital Object Identifier: 10.1307/mmj/1552442712

Subjects:
Primary: 42B15, 42B35

Rights: Copyright © 2019 The University of Michigan

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Vol.68 • No. 3 • August 2019
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