57 citations · 347 across the 45 of their papers we have counts for
6 papers · 1 filter
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…
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 …
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…
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 theorem…
Rectangular summation of multiple Fourier series and multi-parametric capacity
Karl-Mikael Perfekt
We consider the class of multiple Fourier series associated with functions in the Dirichlet space of the polydisc. We prove that every such series is summable with respect to unres…
Endpoint compactness of singular integrals and perturbations of the Cauchy Integral
Karl-Mikael Perfekt, Sandra Pott, Paco Villarroya
We prove sufficient and necessary conditions for compactness of Calderón-Zygmund operators on the endpoint from into . We use this re…