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A strict inequality for projection constants

✍ Scribed by H König; D.R Lewis


Book ID
103180354
Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
198 KB
Volume
74
Category
Article
ISSN
0022-1236

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Best Constants for the Riesz Projection
✍ Brian Hollenbeck; Igor E. Verbitsky 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 176 KB

We prove the following inequality with a sharp constant, where 1<p< , and P + : L p (T) Ä H p (T) is the Riesz projection onto the Hardy space H p (T) on the unit circle T. (In other words, the ``angle'' between the analytic and co-analytic subspaces of L p (T) equals ?Âp\* where p\*=max ( p, p p&1