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.;Pinton S.
2023-01-01

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.
2023
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1267124
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 0
  • ???jsp.display-item.citation.isi??? 0
social impact