2022/11/29 by Krushkal, Samuel L.
#Complex Variables (math.CV) #FOS: Mathematics
paper · doi:10.48550/arxiv.2211.16295
Recently the author proved that the 1977 Hummel-Scheinberg-Zalcman conjecture on coefficients of nonvanishing Hp functions is true for all p = 2m, m ∈ ℕ, i.e., for the Hilbertian Hardy spaces H2m. As a consequence, this also implies a proof of the Krzyz conjecture for bounded nonvanishing functions which originated this direction. In the present paper, we solve the problem for all spaces Hp with p ≥ 2.