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Capacity and potentials on curves
Published/Copyright:
February 12, 2010
Abstract
We treat 
as a potential operator of order α, and discuss the size of the sets where it becomes +∞, where ƒ is non-negative and has compact support. We express the results in terms of Hausdorff capacity (measure).
Received: 2008-09-15
Published Online: 2010-02-12
Published in Print: 2010-September
© de Gruyter 2010
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Articles in the same Issue
- Inhomogeneous Strichartz estimates
- Some characterizations of finite groups in which semipermutability is a transitive relation
- Fine gradings on the Lie algebra
- Harmonic analysis on a finite homogeneous space II: The Gelfand–Tsetlin decomposition
- Regularity results for the gradient of solutions of linear elliptic systems with VMO-coefficients and L1,λ data
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- New characterizations of pseudo-coherent rings
- Le module de continuité des valeurs au bord des fonctions propres et des formes automorphes
