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On the Limits at the Martin Boundary for a Class of Functions

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Abstract

In this paper we prove a criterion for existence of pathwise limits at the Martin boundary for functions with gradient in L loc 2. (This implies that such functions have fine limits at almost all Martin boundary points.)

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Authors and Affiliations

  1. Institute of Mathematics of the Romanian Academy, P.O. Box 1-674, RO-70700, Bucharest, Romania

    L. Stoica

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  1. L. Stoica
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Stoica, L. On the Limits at the Martin Boundary for a Class of Functions. Potential Analysis 15, 89–104 (2001). https://doi.org/10.1023/A:1011298632113

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  • DOI: https://doi.org/10.1023/A:1011298632113

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