We study the boundary behaviour of holomorphic functions in the Hardy– Sobolev spaces Hp;k(D), where D is a smooth, bounded convex domain of finite type in Cn, by describing the approach regions for such functions. In particular, we extend a phenomenon first discovered by Nagel–Rudin and Shapiro in the case of the unit disk, and later extended by Sueiro to the case of strongly pseudoconvex domains.
Boundary behaviour of holomorphic functions in Hardy-Sobolev spaces on convex domains in $\Bbb C^n$ / M.M. Peloso, H. Valencourt. - In: COLLOQUIUM MATHEMATICUM. - ISSN 0010-1354. - 118:(2010), pp. 649-668. [10.4064/cm118-2-18]
Boundary behaviour of holomorphic functions in Hardy-Sobolev spaces on convex domains in $\Bbb C^n$
M.M. PelosoPrimo
;
2010
Abstract
We study the boundary behaviour of holomorphic functions in the Hardy– Sobolev spaces Hp;k(D), where D is a smooth, bounded convex domain of finite type in Cn, by describing the approach regions for such functions. In particular, we extend a phenomenon first discovered by Nagel–Rudin and Shapiro in the case of the unit disk, and later extended by Sueiro to the case of strongly pseudoconvex domains.File in questo prodotto:
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