57 citations · 347 across the 45 of their papers we have counts for
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Some properties related to trace inequalities for the multi-parameter Hardy operators on poly-trees
Nicola Arcozzi, Pavel Mozolyako, Karl-Mikael Perfekt
In this note we investigate the multi-parameter Potential Theory on the weighted -tree (Cartesian product of several copies of uniform dyadic tree), which is connected to the di…
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…
Some Hilbert Spaces related with the Dirichlet space
Nicola Arcozzi, Karl-Mikael Perfekt, Pavel Mozolyako +2
We do a preliminary study of the reproducing kernel Hilbert space having as kernel , where is a positive integer and is the reproducing kernel of the analytic Dirichle…