Vertical variation of harmonic functions in upper half-spaces
Volume 87 / 2001
Colloquium Mathematicum 87 (2001), 1-12
MSC: 31B05, 31B25, 42B15.
DOI: 10.4064/cm87-1-1
Abstract
Some results of Bourgain on the radial variation of harmonic functions in the disk are extended to the setting of harmonic functions in upper half-spaces.