Abstract
We construct a singular probability measure μ on the complex sphere such that the Poisson integral of μ is a pluriharmonic function in the ball and the Fourier transform of μ is $\mathcal{O}(1/\sqrt p )$ as p→∞.
Funding Statement
Supported by the Centre de Recerca Matemàtica (Institut d’Estudis Catalans, Barcelona) under a grant from DGICYT (Spain); partially supported by the RFFI grant 96-01-00693.
Citation
Evgueni Doubtsov. "Singular measures with smal H(p, q)-projections." Ark. Mat. 36 (2) 355 - 361, October 1998. https://doi.org/10.1007/BF02384774
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