| Title | Fatou-type theorems for general approximate identities |
| Authors | Marcus Carlsson |
| Alternative Location | http://www.mscand.dk/articl..., Restricted Access |
| Publication | MATHEMATICA SCANDINAVICA |
| Year | 2008 |
| Volume | 102 |
| Issue | 2 |
| Pages | 231 - 252 |
| Document type | Article |
| Status | Published |
| Quality controlled | Yes |
| Language | eng |
| Publisher | MATEMATISK INST |
| Abstract English | For functions. f is an element of L-1 (R-n) we consider extensions to R-n x R+ given by convolving f with an approximate identity. Fora large class of approximate identities we obtain a Fatou-type theorem where the convergence regions are sometimes effectively larger than the non-tangential ones. We then study a more restricted class of approximate identities for which the convergence regions are shown to be optimal. Finally we will consider products of approximate identities. The results extend previous results by Sjogren 4, Ronning 2 and Brundin 1. |
| ISBN/ISSN/Other | ISSN: 0025-5521 |
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