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- W2005763313 abstract "Let E be the dual of a Frechet nuclear space, then it is well-known that for each open set U in E the space ℋ(U) of all holomorphic functions on U is a nuclear Frechet space. Let be a commutative unital Banach sub-algebra of all bounded holomorphic functions on U which separates points. Applying the nuclearity of ℋ(U) we show that the evaluation on U is given by an integral formula over the Shilov boundary of . We obtain Szego- and Bergman kernels together with some boundary estimates. Moreover, we show that there is a notion of Hardy and Bergman space for ℱ-domains with arbitrary boundary. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)" @default.
- W2005763313 created "2016-06-24" @default.
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- W2005763313 date "2008-05-01" @default.
- W2005763313 modified "2023-09-26" @default.
- W2005763313 title "Hardy spaces and integral formulas for ℱ-domains with arbitrary boundary" @default.
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- W2005763313 doi "https://doi.org/10.1002/mana.200610631" @default.
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