Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4669120 | Bulletin des Sciences Mathématiques | 2011 | 8 Pages |
Abstract
The norm of the Riesz projection from L∞(Tn) to Lp(Tn) is considered. It is shown that for n=1, the norm equals 1 if and only if p⩽4 and that the norm behaves asymptotically as p/(πe) when p→∞. The critical exponent pn is the supremum of those p for which the norm equals 1. It is proved that 2+2/(n2−1)⩽pn<4 for n>1; it is unknown whether the critical exponent for n=∞ exceeds 2.
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Mathematics
Mathematics (General)