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Lipschitz approximation by harmonic functions and some applications to spectral synthesis
Mateu Bennassar, Joan (Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I)
Orobitg i Huguet, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

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 ; publishedVersion
Publicat a: Indiana University mathematics journal, Vol. 39, No. 3 (1990) , p. 703-736, ISSN 0022-2518

DOI: 10.1512/iumj.1990.39.39035

34 p, 2.0 MB

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