Loading...
Please wait, while we are loading the content...
Similar Documents
Real-valued Functions of Finite Energy on the Sierpinski Gasket
| Content Provider | Semantic Scholar |
|---|---|
| Author | Breckner, Brigitte E. |
| Copyright Year | 2013 |
| Abstract | We present, including all necessary computation, the harmonic ex- tension procedure on the Sierpinski gasket in the n-dimensional Euclidean space. Thus we complete the results of (10) where this procedure is performed only in the cases n2f1; 2g. Moreover, we derive from this procedure certain properties of real-valued functions of nite energy dened on the Sierpinski gasket. We stress on the Holder continuity, since we haven't found in the literature a proof for it in the case n 3. MSC 2010. 28A80, 49J52. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://math.ubbcluj.ro/~mathjour/articles/2013-2/breckner.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |