Continuous traces of \(\delta\)-subharmonic functions (Q744521)

A function on the complex plane is called \(\delta \)-subharmonic if it can be expressed as the difference of two subharmonic functions. The author shows that there exists a continuous function on \([-1,1]\) that cannot be extended to a \(\delta \)-subharmonic function with compact support. Reviewer's remark: A more general study of this type of problem may be found in work of \textit{H. Wallin} [Ark. Mat. 5, 55--84 (1963; Zbl 0134.09404)].