Mathematical analysis: function spaces in one and more complex
variables, analysis in metric spaces, potential theory.
Nicola Arcozzi received his bachelor degree in mathematics from
the University of Milano in 1989 and the PhD in mathematics
from Washington University in St. Louis in 1995, under the
direction Albert Baernstein II. He joined the Department of
Mathematics in Bologna in 1998. He is currently working in
holomorphic spaces theory and in analysis on metric spaces. These
different themes found unifying themes in the study of some
problems on the Drury-Arveson space, a space of holomorphic
functions in the unit complex ball, the understanding of which
requires some subtle notion of subRiemannian geometry, and in
applications of potential theory to function spaces. A
unifying feature of his research is the quest for discrete models
useful to deal with problems in the continuum.
Preprints and other material:
https://site.unibo.it/complex-analysis-lab/en
Mathematics Genealogy Project:
http://www.genealogy.ams.org/id.php?id=1811
MathSciNet:
http://www.ams.org/mathscinet/search/author.html?mrauthid=606003