Weyl functions and the Ap condition on compact lie groups

Journal of the Australian Mathematical Society

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