Abstract:
It is proved that the sums
n∑k=11(z−ak)2,Imak<0,n∈N,
are dense in all Hardy spaces Hp, 1<p<∞, in the upper half-plane and in the space of functions analytic in the upper half-plane, continuous in its closure, and tending to zero at infinity.
Citation:
N. A. Dyuzhina, “Density of Derivatives of Simple Partial Fractions in Hardy Spaces in the Half-Plane”, Mat. Zametki, 109:1 (2021), 57–66; Math. Notes, 109:1 (2021), 46–53