National and Kapodistrian University of Athens, Greece
Date(s) : 15/05/2017 iCal
14 h 30 min - 15 h 30 min
First, we remind some generic non-extendability results valid for most of the function spaces in one or several complex variables, as well as, some generic results on totally unbounded functions. These results can be extended to be valid for some new function spaces that we introduce in one, several or infinetely denumerably many variables. These new spaces are defined by several properties of holomorphic functions that we require to hold when we approach several parts of the boundary of their common domain of definition. They are Frechet spaces when they are endowed with their natural topologies. An open issue is to investigate the properties of the functions belonging to these spaces.