Fine continuity on metric spaces |
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Authors: | Jana Björn |
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Institution: | 1.Department of Mathematics,Link?pings universitet,Link?ping,Sweden |
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Abstract: | We obtain pointwise estimates for solutions of obstacle problems on metric measure spaces and prove that p-superharmonic functions are p-finely continuous. Consequently, we show that p-quasicontinuous functions are p-finely continuous at p-quasievery point. As a byproduct, we obtain the sufficiency part of the Wiener criterion in metric spaces without the assumption
of linear local connectedness.
The author was supported by the Swedish Research Council. |
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Keywords: | Primary 31C45 Secondary 46E35 |
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