activity
20122026
most citedEndpoint compactness of singular integrals and perturbations of the Cauchy Integral

6 citations · 10 across the 9 of their papers we have counts for

collaborators

15 papers

math.CA2026

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…

math.SP2026

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…

math.FA2026

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…

math.CA2025

Characterizations for arbitrary Békollé-Bonami weights

Carlos Mudarra, Karl-Mikael Perfekt

We precisely characterize the relationships between the reverse Hölder inequality, the Fujii-Wilson condition, the Békollé-Bonami condition, the

math.NA2020

The Complex-Scaled Half-Space Matching Method

Anne-Sophie Bonnet-Ben Dhia, Simon N. Chandler-Wilde, Sonia Fliss +3

The Half-Space Matching (HSM) method has recently been developed as a new method for the solution of 2D scattering problems with complex backgrounds, providing an alternative to Pe…

math.SP2019

Plasmonic eigenvalue problem for corners: limiting absorption principle and absolute continuity in the essential spectrum

Karl-Mikael Perfekt

We consider the plasmonic eigenvalue problem for a general 2D domain with a curvilinear corner, studying the spectral theory of the Neumann--Poincaré operator of the boundary. A li…