Let a, b, c ? C-2 be three non-collinear points such that their mutual joining complex lines do not intersect the unit ball B-2 and such that the line through a and b is tangent to B-2. Then the set of lines concurrent to a, b or c is a testing family for continuous functions on S-3. This improves a result by the authors and solves a case left open in the literature as described by Globevnik.
Testing families of analytic discs in the unit ball of ℂ2
Baracco L.
;
2023
Abstract
Let a, b, c ? C-2 be three non-collinear points such that their mutual joining complex lines do not intersect the unit ball B-2 and such that the line through a and b is tangent to B-2. Then the set of lines concurrent to a, b or c is a testing family for continuous functions on S-3. This improves a result by the authors and solves a case left open in the literature as described by Globevnik.
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