WEIGHTED HARMONIC –BERGMAN FUNCTIONS AND ITS NORM EQUIVALENCE ON HALF-SPACES
On the setting of the upper half-space H of the Euclidean n-space, we show that to each there corresponds a unique harmonic function f on H such that f vanishes at ¥, and for each Also, we show that -norm of u is equivalent to the sum of tangential derivative -norm of u as u ranges over all -functions.
weighted harmonic Bergman functions, upper half-space, tangential derivative norm, normal derivative norm.
