• Contractive inequalities for Bergman spaces and multiplicative Hankel forms 

      Bayart, Frédéric; Brevig, Ole Fredrik; Haimi, Antti; Ortega-Cerdà, Joaquim; Perfekt, Karl-Mikael (Journal article; Peer reviewed, 2019)
      We consider sharp inequalities for Bergman spaces of the unit disc, establishing analogues of the inequality in Carleman's proof of the isoperimetric inequality and of Weissler's inequality for dilations. By contractivity ...
    • Cyclicity in the Drury-Arveson space and other weighted Besov spaces 

      Aleman, Alexandru; Perfekt, Karl-Mikael; Richter, Stefan; Sundberg, Carl; Sunkes, James (Peer reviewed; Journal article, 2023)
    • Linear space properties of H^p spaces of Dirichlet series 

      Bondarenko, Andrii; Brevig, Ole Fredrik; Saksman, Eero; Seip, Kristian (Journal article; Peer reviewed, 2019)
      We study H p spaces of Dirichlet series, called H p , for the range 0 < p < ∞. We begin by showing that two natural ways to define H p coincide. We then proceed to study some linear space properties of H p . More specifically, ...
    • Quandle cohomology is a Quillen cohomology 

      Szymik, Markus (Journal article, 2018)
      Racks and quandles are fundamental algebraic structures related to the topology of knots, braids, and the Yang-Baxter equation. We show that the cohomology groups usually associated with racks and quandles agree with the ...
    • The tight groupoid of the inverse semigroups of left cancellative small categories 

      Ortega Esparza, Eduardo; Pardo, E (Peer reviewed; Journal article, 2020)
      We fix a path model for the space of filters of the inverse semigroup associated to a left cancellative small category . Then, we compute its tight groupoid, thus giving a representation of its -algebra as a (full) groupoid ...