SU\G(𝔸)/K·U

Zeros of<i>H</i><sup><i>p</i></sup>functions in several complex variables

N. Th. Varopoulos

Type: Article

Publication Date: 1980-05-01

Citations: 22

DOI: https://doi.org/10.2140/pjm.1980.88.189

Abstract

Let Ω be a strictly pseudoconvex smoothly bounded domain in C n and let MaΩ be a complex hypersurface in Ω.In this paper I develop a condition that is sufficient to ensure that Λf=/-χ (O) for some feH p (Ω) (i.e., some / belonging to some Hardy class of Ω).That condition refers to the growth of the 2n-2 dimensional volume of M as it approaches the boundary dΩ.

Locations

  • Pacific Journal of Mathematics - View - PDF

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