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島根大学総合理工学部紀要. シリーズB Volume 30
published_at 1997-01
Capacity and Hausdorff Content of Certain Enlarges Sets
Aikawa Hiroaki
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We consider certain enlargement operations of sets which are related to the Nagel-Stein approach regions and the maximal functions. The capacity and the Hausdorff content of enlarged sets are estimated and their relationship is shown.These results are applied to the boundary behavior of harmonic functions in the upper half space.
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