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math.CV2019
Holomorphic function spaces on the Hartogs triangle
Alessandro Monguzzi
The definition of classical holomorphic function spaces such as the Hardy space or the Dirichlet space on the Hartogs triangle is not canonical. In this paper we introduce a natura…
math.CA2019
Fractional Laplacian, homogeneous Sobolev spaces and their realizations
Alessandro Monguzzi, Marco M. Peloso, Maura Salvatori
We study the fractional Laplacian and the homogeneous Sobolev spaces on R^d , by considering two definitions that are both considered classical. We compare these different definiti…