3 papers
math.CV2024
A Rudin-Carleson theorem for multiply connected domains with interpolation
Benedikt Steinar Magnússon, Bergur Snorrason
Using an annular version of the F. and M. Riesz theorem, we prove a generalization of the Rudin-Carleson theorem for finitely connected bounded domains. That is, for a continuous f…
math.CV2024
Polynomials with exponents in compact convex sets and associated weighted extremal functions -- Approximations and regularity
Bergur Snorrason
We study various regularization operators on plurisubharmonic functions that preserve Lelong classes with growth given by certain compact convex sets. The purpose is to show that t…
math.CV2024
Polynomials with exponents in compact convex sets and associated weighted extremal functions -- Generalized product property
Bergur Snorrason
A famous result of Siciak is how the Siciak-Zakharyuta functions, sometimes called global extremal functions or pluricomplex Green functions with a pole at infinity, of two sets re…