3 problems

Globevnik–Stout conjecture on holomorphic extension from tangent complex lines
Let $\Omega\subset\subset D$ be convex domains with $C^2$ boundaries in $\mathbb{C}^n$ , and let $f$ be continuous on $bD$ . Globevnik–Stout conjecture. If $f$ extends continuously t…
openFrom paperscomplex-analysis convex-domains holomorphic-extension
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4
Boundary Forelli conjecture for bundles of complex lines
Let $B^n\subset\mathbb C^n$ be the unit ball, and let $a_1,\ldots,a_{n+1}\in B^n$ be vertices in general position. An $n+1$ -bundle of complex lines consists of the complex lines co…
openFrom paperscomplex-analysis holomorphic-extension several-complex-variables
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5
The affine-independence conjecture for holomorphic extension on domains
Affine-independence conjecture. Then $fcin A(cpartialcOmega)$ .
openFrom paperscomplex-analysis holomorphic-extension several-complex-variables
0 responses
3

Globevnik–Stout conjecture on holomorphic extension from tangent complex lines