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Proofs of the Density Theorem and Fatou’s Radial Limit Theorem Using the Poisson Integral
DOI: 10.4236/oalib.1102732
Subject Areas:
Function Theory
Keywords: Poisson Integral , Density , Radial Limits , Harmonic Functions
Abstract
Using only the Poisson integral and elementary convergence theorems, we prove the well-known Density theorem and Fatou’s radial limit theorem.
Cite this paper
Marafino, J. (2016). Proofs of the Density Theorem and Fatou’s Radial Limit Theorem Using the Poisson Integral. Open Access Library Journal , 3, e2732. doi: http://dx.doi.org/10.4236/oalib.1102732 .
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