Young'S inequality for locally compact quantum groups

Zhengwei Liu; Simeng Wang; Jinsong Wu

doi:10.7900/jot.2016mar03.2104

Young'S inequality for locally compact quantum groups

Zhengwei Liu
, Simeng Wang
, Jinsong Wu

Harvard University
CNRS
Institute of Mathematics of the Polish Academy of Sciences
University of Science and Technology of China

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

9 Scopus citations

Abstract

In this paper, we generalize Young's inequality for locally compact quantum groups and obtain some results for extremal pairs of Young's inequality and extremal functions of Hausdorff-Young inequality.

Original language	English
Pages (from-to)	109-131
Number of pages	23
Journal	Journal of Operator Theory
Volume	77
Issue number	1
DOIs	https://doi.org/10.7900/jot.2016mar03.2104
State	Published - 2017
Externally published	Yes

Keywords

Group-like projection
Kac algebra
Quantum group
Young's inequality

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title = "Young'S inequality for locally compact quantum groups",

abstract = "In this paper, we generalize Young's inequality for locally compact quantum groups and obtain some results for extremal pairs of Young's inequality and extremal functions of Hausdorff-Young inequality.",

keywords = "Group-like projection, Kac algebra, Quantum group, Young's inequality",

author = "Zhengwei Liu and Simeng Wang and Jinsong Wu",

note = "Publisher Copyright: {\textcopyright} by Theta, 2017.",

year = "2017",

doi = "10.7900/jot.2016mar03.2104",

language = "英语",

volume = "77",

pages = "109--131",

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TY - JOUR

T1 - Young'S inequality for locally compact quantum groups

AU - Liu, Zhengwei

AU - Wang, Simeng

AU - Wu, Jinsong

N1 - Publisher Copyright: © by Theta, 2017.

PY - 2017

Y1 - 2017

N2 - In this paper, we generalize Young's inequality for locally compact quantum groups and obtain some results for extremal pairs of Young's inequality and extremal functions of Hausdorff-Young inequality.

AB - In this paper, we generalize Young's inequality for locally compact quantum groups and obtain some results for extremal pairs of Young's inequality and extremal functions of Hausdorff-Young inequality.

KW - Group-like projection

KW - Kac algebra

KW - Quantum group

KW - Young's inequality

UR - https://www.scopus.com/pages/publications/85013465897

U2 - 10.7900/jot.2016mar03.2104

DO - 10.7900/jot.2016mar03.2104

M3 - 文章

AN - SCOPUS:85013465897

SN - 0379-4024

VL - 77

SP - 109

EP - 131

JO - Journal of Operator Theory

JF - Journal of Operator Theory

IS - 1

ER -

Young'S inequality for locally compact quantum groups

Abstract

Keywords

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