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

DOI: 10.4236/oalib.1102732, PP. 1-8

Subject Areas: Function Theory

Keywords: Poisson Integral, Density, Radial Limits, Harmonic Functions

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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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