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- W4288363937 abstract "We discuss random interpolation in weighted Dirichlet spaces $mathcal{D}_alpha$, $0leq alphaleq 1$. While conditions for deterministic interpolation in these spaces depend on capacities which are very hard to estimate in general, we show that random interpolation is driven by surprisingly simple distribution conditions. As a consequence, we obtain a breakpoint at $alpha=1/2$ in the behavior of these random interpolating sequences showing more precisely that almost sure interpolating sequences for $mathcal{D}_alpha$ are exactly the almost sure separated sequences when $0le alpha<1/2$ (which includes the Hardy space $H^2=mathcal{D}_0$), and they are exactly the almost sure zero sequences for $mathcal{D}_alpha$ when $1/2 leq alphale 1$ (which includes the classical Dirichlet space $mathcal{D}=mathcal{D}_1$)." @default.
- W4288363937 created "2022-07-29" @default.
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- W4288363937 date "2019-04-29" @default.
- W4288363937 modified "2023-09-27" @default.
- W4288363937 title "Random interpolating sequences in Dirichlet spaces" @default.
- W4288363937 doi "https://doi.org/10.48550/arxiv.1904.12529" @default.
- W4288363937 hasPublicationYear "2019" @default.
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