Harmonic functions on Lipschitz domains withVMO data

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1982 English Publisher:Springer Science and Business Media LLCJournal:ANNALI DELL UNIVERSITA DI FERRARA, volume 28 (issn: 0430-3202, eissn: 1827-1510,

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Authors: Vernier Piro, Stella;

doi: 10.1007/bf02900757

Harmonic functions on Lipschitz domains withVMO data

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Abstract

In this paper we introduce a space of harmonic functions defined in Lipschitz domains and we show that such a functions characterize all the Poisson integrals of functions with vanishing mean oscillation.

Keywords

Lipschitz domains, bounded mean oscillation, Boundary value and inverse problems for harmonic functions in higher dimensions, Harmonic, subharmonic, superharmonic functions in higher dimensions, Poisson integrals

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