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 A 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

Travaglini, G. (1982). Weyl functions and A_p condition on compact Lie groups. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 33(A), 185-192 [10.1017/S1446788700018322].

Weyl functions and A_p condition on compact Lie groups

TRAVAGLINI, GIANCARLO
1982

Abstract

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 A 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
Articolo in rivista - Articolo scientifico
A_p condition
English
1982
33
A
185
192
none
Travaglini, G. (1982). Weyl functions and A_p condition on compact Lie groups. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 33(A), 185-192 [10.1017/S1446788700018322].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/23266
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