4 citations · 12 across the 15 of their papers we have counts for
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Contractive Hardy--Littlewood inequalities in the Dirichlet range
Ole Fredrik Brevig, Aleksei Kulikov, Kristian Seip +1
The class consists of those analytic functions in the unit disc such that \[\|f\|_{α,p}^p := |f(0)|^p+\int_0^1 \left(\frac{d}{dr} M_p^p(r,f)\right) (1-r^2)^{α-1} \,dr <…
Two footnotes to the F. & M. Riesz theorem
Ole Fredrik Brevig
We present a new proof of the F. & M. Riesz theorem on analytic measures of the unit circle that is based the following elementary inequality: If is analytic in th…
An extension of Bohr's theorem
Ole Fredrik Brevig, Athanasios Kouroupis
The following extension of Bohr's theorem is established: If a somewhere convergent Dirichlet series has an analytic continuation to the half-plane $\mathbb{C}_θ= \{s = σ+it\,:…
A converse to the Schwarz lemma for planar harmonic maps
Ole Fredrik Brevig, Joaquim Ortega-Cerdà, Kristian Seip
A sharp version of a recent inequality of Kovalev and Yang on the ratio of the and norms for certain polynomials is obtained. The inequality is applied to establ…