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Inhomogeneous Poisson processes in the disk and interpolation

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We investigate different geometrical properties, related to Carleson measures and pseudo-hyperbolic separation, of inhomogeneous Poisson point processes on the unit disk. In particular, we give conditions so that these random sequences are almost surely interpolating for the Hardy, Bloch or weighted Dirichlet spaces.

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Proceedings of the Edinburgh Mathematical Society, 2024, vol. 67, num.3

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Articles publicats en revistes (Matemàtiques i Informàtica)

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Inhomogeneous Poisson processes in the disk and interpolation