For a relatively compact domain M in a complex manifold, we completely characterize in terms of Jensen measures the annihilating measures of the algebra A(M̄) of holomorphic functions and the space h(M̄) of pluriharmonic functions continuous on M̄. We also establish the equivalence of Mergelyan type approximation properties of a domain for different function spaces.
|Original language||English (US)|
|Number of pages||12|
|Journal||Illinois Journal of Mathematics|
|State||Published - Dec 1 2009|
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