Home > Articles > Published articles > Lipschitz approximation by harmonic functions and some applications to spectral synthesis |
Date: | 1990 |
Abstract: | For 0 < s ≤ 1, we characterize those compact sets X with the property that each function harmonic in Ẋ and satisfying a little o Lipschitz condition of order s is the limit in the Lipschitz norm of orders of functions harmonic on neighbourhoods of X. As an application of the methods we give a spectral synthesis result in the space of locally integrable functions whose laplacian belongs to Bp(Rd), the containing Banach space of the Hardy space Hp(Rd). |
Rights: | Tots els drets reservats. |
Language: | Anglès |
Document: | Article ; Versió publicada |
Published in: | Indiana University mathematics journal, Vol. 39, No. 3 (1990) , p. 703-736, ISSN 0022-2518 |
34 p, 2.0 MB |