Fourier restriction estimates on quantum Euclidean spaces

Guixiang Hong; Xudong Lai; Liang Wang

doi:10.1016/j.aim.2023.109232

Fourier restriction estimates on quantum Euclidean spaces

Guixiang Hong
, Xudong Lai^*
, Liang Wang

^*Corresponding author for this work

School of Mathematics

Wuhan University

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

In this paper, we initiate the study of the Fourier restriction phenomena on quantum Euclidean spaces, and establish the analogues of the Tomas-Stein restriction theorem and the two-dimensional full restriction theorem.

Original language	English
Article number	109232
Journal	Advances in Mathematics
Volume	430
DOIs	https://doi.org/10.1016/j.aim.2023.109232
State	Published - 1 Oct 2023

Keywords

Fourier restriction estimates
Noncommutative L-spaces
Quantum Euclidean spaces

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10.1016/j.aim.2023.109232

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title = "Fourier restriction estimates on quantum Euclidean spaces",

abstract = "In this paper, we initiate the study of the Fourier restriction phenomena on quantum Euclidean spaces, and establish the analogues of the Tomas-Stein restriction theorem and the two-dimensional full restriction theorem.",

keywords = "Fourier restriction estimates, Noncommutative L-spaces, Quantum Euclidean spaces",

author = "Guixiang Hong and Xudong Lai and Liang Wang",

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doi = "10.1016/j.aim.2023.109232",

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T1 - Fourier restriction estimates on quantum Euclidean spaces

AU - Hong, Guixiang

AU - Lai, Xudong

AU - Wang, Liang

PY - 2023/10/1

Y1 - 2023/10/1

N2 - In this paper, we initiate the study of the Fourier restriction phenomena on quantum Euclidean spaces, and establish the analogues of the Tomas-Stein restriction theorem and the two-dimensional full restriction theorem.

AB - In this paper, we initiate the study of the Fourier restriction phenomena on quantum Euclidean spaces, and establish the analogues of the Tomas-Stein restriction theorem and the two-dimensional full restriction theorem.

KW - Fourier restriction estimates

KW - Noncommutative L-spaces

KW - Quantum Euclidean spaces

UR - https://www.scopus.com/pages/publications/85166671601

U2 - 10.1016/j.aim.2023.109232

DO - 10.1016/j.aim.2023.109232

M3 - 文章

AN - SCOPUS:85166671601

SN - 0001-8708

VL - 430

JO - Advances in Mathematics

JF - Advances in Mathematics

M1 - 109232

ER -

Fourier restriction estimates on quantum Euclidean spaces

Abstract

Keywords

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