期刊论文详细信息
Journal of the Australian Mathematical Society | |
Weyl functions and the Ap condition on compact lie groups | |
Giancarlo Travaglini1  | |
关键词: primary 43 A 15; 22 E 30; secondary 43 A 40; | |
DOI : 10.1017/S1446788700018322 | |
学科分类:数学(综合) | |
来源: Cambridge University Press | |
【 摘 要 】
Let G be a compact, simple, simply connected Lie group. The Lp-norm of a central trigonometric polynomial reduces naturally to a weighted Lp-norm of a trigonometric polynomial on a maximal torus T. The weight is | Δ |2-p, where Δ is the usual Weyl function. If p ≥ 2, we prove that | Δ |2-p satisfies Muckenhoupt's Ap condition if and only if the Lp-norms of the irreducible characters of G are uniformly bounded.
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
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RO201912040543450ZK.pdf | 287KB | download |