LOCAL L1ESTIMATES FOR ELLIPTIC SYSTEMS OF COMPLEX VECTOR FIELDS

LOCAL L1ESTIMATES FOR ELLIPTIC SYSTEMS OF COMPLEX VECTOR FIELDS

In this paper we present a strong local version of the Gagliardo-Nirenberg estimate that holds for elliptic systems of vector fields with smooth complex coefficients. We also consider L1 estimates on forms analogous to those known in the case of the de Rham complex on ℝN.

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Veröffentlicht in:Proceedings of the American Mathematical Society 2015-04, Vol.143 (4), p.1501-1514
Hauptverfasser: HOUNIE, J., PICON, T.
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper we present a strong local version of the Gagliardo-Nirenberg estimate that holds for elliptic systems of vector fields with smooth complex coefficients. We also consider L1 estimates on forms analogous to those known in the case of the de Rham complex on ℝN.
ISSN:0002-9939
1088-6826