24 citations · 100 across the 17 of their papers we have counts for
3 papers · 1 filter
Bi-parameter Potential theory and Carleson measures for the Dirichlet space on the bidisc
Nicola Arcozzi, Pavel Mozolyako, Karl-Mikael Perfekt +1
We characterize the Carleson measures for the Dirichlet space on the bidisc, hence also its multiplier space. Following Maz'ya and Stegenga, the characterization is given in terms…
Quaternionic inner and outer functions
Alessandro Monguzzi, Giulia Sarfatti, Daniel Seco
We study properties of inner and outer functions in the Hardy space of the quaternionic unit ball. In particular, we give sufficient conditions as well as necessary ones for functi…
Shift invariant subspaces of slice functions
Alessandro Monguzzi, Giulia Sarfatti
In this paper we characterize the closed invariant subspaces for the (-)multiplier operator of the quaternionic space of slice functions. As a consequence, we obtain the i…