Titlebook: Classical and Modern Potential Theory and Applications; K. GowriSankaran,J. Bliedtner,I. Netuka Book 1994 Kluwer Academic Publishers 1994

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The Best Approach for Boundary Limits,uired zero limits achieved. The construction is new for the unit disk, but it is also valid for very general settings. It shows that any limit theorem for positive harmonic functions can be replaced with one which is at least as good (in terms of the coarseness of the filters) where the approach nei

Instrumental

adjacent

https://doi.org/10.1007/978-981-99-6679-0uired zero limits achieved. The construction is new for the unit disk, but it is also valid for very general settings. It shows that any limit theorem for positive harmonic functions can be replaced with one which is at least as good (in terms of the coarseness of the filters) where the approach nei

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Fallibility

Radial Limiting Behaviour of Harmonic and Super-Harmonic Functions,gory set of θ Neither the growth rate nor the category condition can be relaxed. This article surveys various analogues and extensions of Schneider’s result. The role of holomorphic and harmonic approximation theorems in the production of counterexamples is indicated. Sections 1 and 2 are largely a

Bouquet

Biomarker

The Best Approach for Boundary Limits,hich a Fatou boundary limit theorem holds when the filter is copied by rotation at all points of the unit circle. In [4]the authors used the principal result from [3] to show that there is a coarsest filter when the problem is suitably normalized. The normalization assigns to each positive harmonic