Varieties in Strictly Pseudoconvex Domains

Part of the Progress in Mathematics book series (PM, volume 261)


This chapter is devoted to the study of one-dimensional subvarieties of strictly pseudoconvex domains. The motivation comes in good measure from the highly developed theory of the boundary behavior of holomorphic functions; the present chapter may be regarded as presenting some results toward an analogous geometric theory for varieties. Section 7.1 contains work on interpolation, which serves as a tool in the subsequent sections. Section 7.2 treats boundary regularity questions. Section 7.3 considers boundary uniqueness results.


Compact Subset Convex Domain Pseudoconvex Domain Simple Closed Curve Boundary Regularity 
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© Birkhäuser Boston 2007

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