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Showing 1 to 3 of 3 for “"Subharmonic functions"”.
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Bounds on the size of strong subordinates of submartingales and subharmonic functions
… inequalities obtained are also shown to hold for subharmonic functions and their suitably defined subordinates.
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Maximum principle, mean value operators and quasi boundedness in non-euclidean settings
… a scalar convexity for mean-value operators of L-subharmonic functions, where L is our differential operator. In the third chapter we prove a necessary and sufficient condition of regularity, for boundary points, for Dirichlet problem on an open subset of RN related to sub-Laplacian. On a Carnot …
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Potential Theory on Compact Sets
… equivalent ways to define continuous harmonic functions <em>H</em>(<em>K</em>) on a compact set <em>K</em> in [the set of real numbers]<sup>n</sup>. One may let <em>H</em>(<em>K</em>) be the uniform closure of all functions in <em>C</em>(<em>K</em>) which are restrictions of harmonic functions …