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Optimal estimates for the gradient of harmonic functions in the unit disk
Harmonic functions Bloch functions Hardy spaces.
2011/2/21
Concrete sharp constants in a pointwise estimate of the gradient of a harmonic function in the unit disk are obtained under the assumption that function belong to Hardy space hp, p > 1. This gen-erali...
Some results concerning the $p$-Royden and $p$-harmonic boundaries of a graph of bounded degree
p-Royden boundary p-harmonic boundary p-harmonic function
2011/1/20
Let p be a real number greater than one and let be a connected graph of bounded degree. We show that the p-Royden boundary of with the p-harmonic boundary removed is a F-set. We...