[期刊论文]

出版年：1994

Abstract The injectivity of the spherical mean value operator on the Heisenberg group is studied. When f ?lt;i>L ^P (Hⁿ), 1 ?lt;i>p < ?it is proved that the spherical mean value operator is injective. When 1 ?lt;i>p ?2, f(z, ·) ?lt;i>L ^P (? the same is proved under much weaker conditions in the z-variable. Some extensions of recent results of Agranovsky et al. regarding CR functions on the Heisenberg group are also obtained.

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