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Pàgina inicial > Articles > Articles publicats > Lipschitz approximation by harmonic functions and some applications to spectral synthesis |
Data: | 1990 |
Resum: | 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). |
Drets: | Tots els drets reservats. |
Llengua: | Anglès |
Document: | Article ; Versió publicada |
Publicat a: | Indiana University mathematics journal, Vol. 39, No. 3 (1990) , p. 703-736, ISSN 0022-2518 |
34 p, 2.0 MB |