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Remarks on subharmonic envelopes. (English) Zbl 1129.31001

The greatest subharmonic minorant of a function is called a subharmonic envelope. B. J. Cole and T. J. Ransford [J. Funct. Anal. 147, No. 2, 420–442 (1997; Zbl 0873.31007)] have represented the subharmonic envelope using Jensen measures. The author is representing the subharmonic envelope using harmonic measures which form a subfamily of Jensen measures (see details in [B. J. Cole and T. J. Ransford, J. Reine Angew. Math. 541, 29–53 (2001; Zbl 0988.31002)]).

MSC:

31B05 Harmonic, subharmonic, superharmonic functions in higher dimensions
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