Affiliation:
1. Department of Mathematics, Bar-Ilan University, Israel Department of Mathematics, University of Virginia, Charlottesville, USA
Abstract
Recently the author proved that the Hummel-Scheinberg-Zalcman conjecture of 1977
on coefficients of nonvanishing $H^p$ functions is true for all $p = 2m, \ m \in \mathbb N$, i.e., for the Hilbertian Hardy spaces $H^{2m}$. As a consequence, this also implies the proof of the Krzyz conjecture for bounded nonvanishing functions, which originated this direction.
In the present paper, we solve the problem for all spaces $H^p$ with $p \ge 2$.
Publisher
Institute of Applied Mathematics and Mechanics of the National Academy of Sciences of Ukraine