scholarly journals Boundary regularity for holomorphic maps from the disc to the ball.

1987 ◽  
Vol 60 ◽  
pp. 31
Author(s):  
Josip Globevnik ◽  
Edgar Lee Stout
Keyword(s):  
Boundary Regularity ◽  
Holomorphic Maps

scholarly journals Fixed Points of Commuting Holomorphic Maps Without Boundary Regularity

2000 ◽  
Vol 43 (3) ◽  
pp. 294-303 ◽  
Author(s):  
Filippo Bracci
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Boundary Regularity ◽  
Holomorphic Maps

AbstractWe identify a class of domains of ℂn in which any two commuting holomorphic self-maps have a common fixed point.

scholarly journals Interpolation by holomorphic maps from the disc to the tetrablock

2021 ◽  
Vol 498 (2) ◽  
pp. 124951
Author(s):  
Hadi O. Alshammari ◽  
Zinaida A. Lykova
Keyword(s):  
Holomorphic Maps

scholarly journals Boundary Regularity for p-Harmonic Functions and Solutions of Obstacle Problems on Unbounded Sets in Metric Spaces

2019 ◽  
Vol 7 (1) ◽  
pp. 179-196
Author(s):  
Anders Björn ◽  
Daniel Hansevi
Keyword(s):  
Harmonic Functions ◽  
Obstacle Problem ◽  
Metric Spaces ◽  
Local Property ◽  
Boundary Regularity ◽  
Obstacle Problems ◽  
Regular Boundary ◽  
Complete Metric Spaces ◽  
Regularity Results

Abstract The theory of boundary regularity for p-harmonic functions is extended to unbounded open sets in complete metric spaces with a doubling measure supporting a p-Poincaré inequality, 1 < p < ∞. The barrier classification of regular boundary points is established, and it is shown that regularity is a local property of the boundary. We also obtain boundary regularity results for solutions of the obstacle problem on open sets, and characterize regularity further in several other ways.

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