Proofs of the Density Theorem and Fatou’s Radial Limit Theorem Using the Poisson Integral - Open Access Library Journal

OALibJ > Vol.3 No.6, June 2016

Proofs of the Density Theorem and Fatou’s Radial Limit Theorem Using the Poisson Integral ()

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DOI: 10.4236/oalib.1102732 781 Downloads 1,595 Views

Author(s)

John Marafino

Affiliation(s)

Department of Mathematics and Statistics, James Madison University, Harrisonburg, VA, USA.

ABSTRACT

Using only the Poisson integral and elementary convergence theorems, we prove the well-known Density theorem and Fatou’s radial limit theorem.

KEYWORDS

Poisson Integral, Density, Radial Limits, Harmonic Functions

Share and Cite:

Marafino, J. (2016) Proofs of the Density Theorem and Fatou’s Radial Limit Theorem Using the Poisson Integral. Open Access Library Journal, 3, 1-8. doi: 10.4236/oalib.1102732.

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