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- W4254717731 abstract "We study the capacity in the sense of Beurling–Deny associated with the Dirichlet space D(μ) where μ is a finite positive Borel measure on the unit circle. First, we obtain a sharp asymptotic estimate of the norm of the reproducing kernel of D(μ). It allows us to give an estimate of the capacity of points and arcs of the unit circle. We also provide new conditions on closed sets to be polar. Our method is based on sharp estimates of norms of some outer functions, which allow us to transfer these problems to an estimate of the reproducing kernel of an appropriate weighted Sobolev space." @default.
- W4254717731 created "2022-05-12" @default.
- W4254717731 date "1943-09-01" @default.
- W4254717731 modified "2023-09-30" @default.
- W4254717731 title "Specification of the Munsell book of color" @default.
- W4254717731 doi "https://doi.org/10.1016/s0016-0032(43)90739-2" @default.
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