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- W173913035 abstract "Let X be a space of functions that are analytic in the unit disk and have boundary values satisfying some additional smoothness conditions (X may be the space of functions with derivative in the Hardy space H 1, or analytic Besov space B p,1 1/p ), and let E be a non-Carleson subset, i.e., L = – ∫ log dist(t, E)dm < ∞. For f ∈ X, we estimate |f(z)| by a quantity depending on || f ||x under the assumption that f vanishes on E. Simultaneously we obtain a formula that reconstructs f (z) at an arbitrary point z starting with the restriction of f to a Carleson subset E. This is an analogue of the Carleman-Golusin-Krylov formula for the functions in the Hardy space H 1 and the sets E of positive Lebesgue measure on the circle." @default.
- W173913035 created "2016-06-24" @default.
- W173913035 creator A5061888708 @default.
- W173913035 date "2000-01-01" @default.
- W173913035 modified "2023-09-24" @default.
- W173913035 title "Carleman Formula for Some Spaces of Functions Analytic in the Disk and Smooth in its Closure" @default.
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- W173913035 doi "https://doi.org/10.1007/978-3-0348-8378-8_32" @default.
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