Testing families of complex lines for the unit ball

DOI10.1016/j.jmaa.2017.10.012zbMath1386.32012OpenAlexW2765428874MaRDI QIDQ1682120

Stefano Pinton, Luca Baracco

Publication date: 28 November 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.10.012

zbMATH Keywords

testing families of linesunit ball in \(\mathbb C^2\), holomorphic extension from the boundary

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15)

Related Items (2)

Testing families of analytic discs in the unit ball of \(\mathbb{C}^2\) ⋮ Orthogonal testing families and holomorphic extension from the sphere to the ball

Cites Work

• Unnamed Item
• Unnamed Item
• Holomorphic extension from a convex hypersurface
• Analog of a theorem of Forelli for boundary values of holomorphic functions on the unit ball of \(\mathbb C^n\)
• Holomorphic extension from the sphere to the ball
• Boundary analogues of Hartog's theorem
• Propagation of boundary CR foliations and Morera type theorems for manifolds with attached analytic discs
• Extremal discs and holomorphic extension from convex hypersurfaces
• Boundary Morera theorems for holomorphic functions of several complex variables
• Meromorphic extensions from small families of circles and holomorphic extensions from spheres
• Small families of complex lines for testing holomorphic extendibility
• Separate holomorphic extension along lines and holomorphic extension from the sphere to the ball

This page was built for publication: Testing families of complex lines for the unit ball