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Details for article 5 of 11 found articles
| Title: |
On a coefficient problem for nonvanishing Hp functions |
| Author: |
Brown, Johnny E. |
| Appeared in: |
Complex variables and elliptic equations |
| Paging: | Volume 4 (1985) nr. 3 pages 253-265 |
| Year: |
1985-08 |
| Contents: |
It has been conjectured by Hummel, Scheinberg and Zalcman that if f(z) ≈ a0 + a1z + a2z2 + … is a nonvanishing Hp function with [image omitted] then [image omitted] for all n⋝ 1 and 1 < p < ∞ where 1/p + 1/q = 1. Using the Pontryagin Maximum Principle we solve a related extremal problem which proves the conjecture in the case n = 1 and in the case of arbitrary n ⋝ 2 provided a m = 0 for 1 ≤m < (n 1)/2. |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 5 of 11 found articles
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