Remarks on a theorem of Koranyi and Malliavin on the Siegel upper half plane of rank two

Johnson, Kenneth D.

doi:10.1090/S0002-9939-1977-0476918-8

Remarks on a theorem of Koranyi and Malliavin on the Siegel upper half plane of rank two
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Proc. Amer. Math. Soc. 67 (1977), 351-356 Request permission

Abstract:

In [5], A. Koranyi and P. Malliavin showed that bounded functions on the Siegel upper half plane of rank two which satisfied two special elliptic differential equations were characterized by their values on the Bergman-Šilov boundary. In this paper a simple proof of this theorem is given.

References

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