2021 Weighted Norm Inequalities for Multilinear Fourier Multipliers with Mixed Norm
Mai Fujita
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Abstr. Appl. Anal. 2021: 1-8 (2021). DOI: 10.1155/2021/8289155

Abstract

In this paper, weighted norm inequalities for multilinear Fourier multipliers satisfying Sobolev regularity with mixed norm are discussed. Our result can be understood as a generalization of the result by Fujita and Tomita by using the Lr-based Sobolev space, 1<r2 with mixed norm.

Acknowledgments

The research of the author was supported by Division of Math, Sciences, and Information Technology in Education of Osaka Kyoiku University.

Citation

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Mai Fujita. "Weighted Norm Inequalities for Multilinear Fourier Multipliers with Mixed Norm." Abstr. Appl. Anal. 2021 1 - 8, 2021. https://doi.org/10.1155/2021/8289155

Information

Received: 27 September 2021; Accepted: 11 November 2021; Published: 2021
First available in Project Euclid: 28 July 2021

Digital Object Identifier: 10.1155/2021/8289155

Rights: Copyright © 2021 Hindawi

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