Inhomogeneous Poisson processes in the disk and interpolation

Publication date

2025-07-29T07:28:06Z

2025-07-29T07:28:06Z

2024-04-30

2025-07-29T07:28:06Z

Abstract

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.

Document Type

Published version


Article

Language

English

Publisher

Cambridge University Press (CUP)

Related items

Reproducció del document publicat a: https://doi.org/10.1017/S0013091524000282

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

https://doi.org/10.1017/S0013091524000282

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Rights

cc by (c) Andreas Hartmann et al., 2024

http://creativecommons.org/licenses/by/3.0/es/

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