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math.CV2017
A uniform boundedness principle in pluripotential theory
Łukasz Kosiński, Étienne Martel, Thomas Ransford
For families of continuous plurisubharmonic functions we show that, in a local sense, separately bounded above implies bounded above.
math.CV2017
Approximation in the closed unit ball
Javad Mashreghi, Thomas Ransford
In this expository article, we present a number of classic theorems that serve to identify the closure in the sup-norm of various sets of Blaschke products, inner functions and the…