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- W4249730022 abstract "In this chapter we exploit most of the previous results in order to establish estimates for the operators arising in the $$ overline partial $$ -Neumann problem, in particular for the canonical solution operator $$ overline partial $$ * N, in various function spaces. As the case of Sobolev spaces is well known and can in fact be dealt with by easier methods, we lay the stress on Hölder and C k -estimates. These latter estimates in particular are based on the detailed study of the $$ overline partial $$ -Neumann problem which we have done in the preceding chapters. The information we obtain leads to interesting consequences for the function theory on a strictly pseudoconvex domain, consequences which have actually motivated the development of the theory (see [Ran 86]). In fact, the approximation and decomposition theorems of the last paragraphs can be considered as quantitative versions of well-known results in the classical theory of Stein spaces, in analogy to the vanishing theorems for (e. g.) L p -cohomology spaces which are variants of Cartan’s Theorem B." @default.
- W4249730022 created "2022-05-12" @default.
- W4249730022 creator A5072386882 @default.
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- W4249730022 date "2002-01-01" @default.
- W4249730022 modified "2023-09-26" @default.
- W4249730022 title "Regularity of the $$ % MathType!MTEF!2!1!+- % feaagaart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGafyOaIyRbae % baaaa!376B! bar partial $$ -Neumann Problem and Applications" @default.
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- W4249730022 doi "https://doi.org/10.1007/978-3-322-91608-2_9" @default.
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