Complex convexity

A set in is called -convex if its intersection with any complex line is contractible.

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.

2016

The concepts of complex extreme points, complex strongly extreme points, complex strict convexity, and complex midpoint locally…

2014

The complex convexity of Musielak-Orlicz function spaces equipped with the -Amemiya norm is mainly discussed. It is obtained that…

2014

2010

We prove thin-thick decompositions, for the class of Hardy martingales and thereby strenghten its square function…

2007

We study the relations between boundaries for algebras of holomorphic functions on Banach spaces and complex convexity of their…

2004

Summary. We give sucien t and necessary conditions for complex extreme points of the unit ball of Orlicz{Lorentz spaces, as well…

1999

1996

. Complex geometric properties of continuously quasi-normed spaces are introduced and their relationship to their analogues in…

1988

. We prove that complex uniform convexity of a complex normed space X is equivalent to complex uniform convexity of bva(7, X…

1987

We construct a quasi-Banach space which cannot be given an equivalent plurisubharmonic quasi-norm, but such that it has a…