8 citations · 25 across the 20 of their papers we have counts for
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A Fejér--Riesz inequality for Dirichlet series
Karl-Mikael Perfekt
We prove the following inequality for Dirichlet polynomials: \[ \int_0^1 |f(1/2+σ)|\,dσ\lesssim \lim_{T\to\infty} \frac{1}{2T} \int_{-T}^T |f(it)| \, dt. \] In particular, for a Di…
Boundary-Weighted Fourier Inequalities for Convex Domains
Konstantinos Bampouras, Karl-Mikael Perfekt
We consider the natural family of Fourier inequalities for the Paley--Wiener space , consisting of -functions with Fourier support in a convex set $Ω\subset…
Comparison inequalities for Dirichlet-to-Neumann maps
Denis S. Grebenkov, Michael Levitin, Karl-Mikael Perfekt +1
We prove comparison inequalities for Dirichlet-to-Neumann maps corresponding to different non-positive Helmholtz parameters. For convex domains our bounds are sharp, and the result…
Recovering Product BMO from Schatten Hankel operators
Konstantinos Bampouras, Karl-Mikael Perfekt
We prove that if a small Hankel operator on the product Hardy space belongs to some Schatten class , , then it has a symbol in product BMO. In other words, the con…