Some Hilbert spaces related with the Dirichlet space

Nicola Arcozzi 1 , Pavel Mozolyako 2 , Karl-Mikael Perfekt 3 , Stefan Richter 4  and Giulia Sarfatti 5
  • 1 Università di Bologna, Dipartimento di Matematica, Piazza di Porta S.Donato 5, Bologna
  • 2 Chebyshev Lab at St. Petersburg State University, 14th Line 29B, Vasilyevsky Island, St. Petersburg 199178, Russia
  • 3 Department of Mathematical Sciences, Norwegian University of Science and Technology (NTNU), NO-7491 Trondheim, Norway
  • 4 Department of Mathematics, The University of Tennessee, Knoxville, TN 37996, USA
  • 5 Istituto Nazionale di Alta Matematica “F. Severi”, Città Universitaria, Piazzale Aldo Moro 5, 00185 Roma, and Institut de Mathématiques de Jussieu, Université Pierre et Marie Curie, 4, place Jussieu, F-75252 Paris, France

Abstract

We study the reproducing kernel Hilbert space with kernel kd , where d is a positive integer and k is the reproducing kernel of the analytic Dirichlet space.

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Concrete Operators is devoted to original research articles on all special classes of linear operators acting on function spaces and their applications. Concrete operators have shown to be prevalent in almost all domains of science and technology and are interconnected to many other branches of mathematics. Concrete Operators publishes articles devoted to all special classes of linear operators acting on function spaces.

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