Sharp Hausdorff--Young inequalities for solvable and semisimple Lie groups

In this paper, we obtain the sharp constants for Hausdorff--Young inequalities on simply connected, completely solvable Lie groups, and connected real semisimple Lie groups with finite center.

Authors

Publication Details

Journal
arXiv (Cornell University)
Published
2026-11-02
DOI
https://doi.org/10.48550/arxiv.2611.02597
Primary Topic
Mathematical Analysis and Transform Methods
Type
preprint
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preprint

Sharp Hausdorff--Young inequalities for solvable and semisimple Lie groups

Jinsong Wu, Fulin Yang
arXiv (Cornell University)
Mathematical Analysis and Transform Methods
preprint

Sharp Hausdorff--Young inequalities for solvable and semisimple Lie groups

Jinsong Wu, Fulin Yang
preprint en

Abstract

In this paper, we obtain the sharp constants for Hausdorff--Young inequalities on simply connected, completely solvable Lie groups, and connected real semisimple Lie groups with finite center.

arXiv (Cornell University)
Mathematical Analysis and Transform Methods
DOIOpen Access PDFOpenAlex
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Sharp Hausdorff--Young inequalities for solvable and semisimple Lie groups — Jinsong Wu, Fulin Yang · arXiv (Cornell University) (2026) | TGRS Research Map | TGRS