6 papers
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…
Restrictions of Békollé--Bonami weights and Bloch functions
Alberto Dayan, Adrián Llinares, Karl-Mikael Perfekt
We characterize the restrictions of Békollé--Bonami weights of bounded hyperbolic oscillation, to subsets of the unit disc, thus proving an analogue of Wolff's restriction theore…
Besov spaces and Schatten class Hankel operators for Hardy and Paley--Wiener spaces in higher dimensions
Konstantinos Bampouras, Karl-Mikael Perfekt
We consider Schatten class membership of Hankel operators on Paley--Wiener spaces of convex , both for bounded and unbounded domains. In particular, the cla…
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 $\mathrm{B}_\inft…
Almost periodicity and boundary values of Dirichlet series
Ole Fredrik Brevig, Athanasios Kouroupis, Karl-Mikael Perfekt
We employ almost periodicity to establish analogues of the Hardy--Stein identity and the Littlewood--Paley formula for Hardy spaces of Dirichlet series. A construction of Saksman a…