Hardy and BMO spaces associated to divergence form elliptic operators

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dc.creatorHofmann, Steve
dc.creatorMayboroda, Svitlana
dc.date2006-11-27
dc.date2007-02-28
dc.date.accessioned2026-07-07T07:49:08Z
dc.date.available2026-07-07T07:49:08Z
dc.descriptionConsider the second order divergence form elliptic operator $L$ with complex bounded coefficients. In general, the operators related to it (such as Riesz transform or square function) lie beyond the scope of the Calderón-Zygmund theory. They need not be bounded in the classical Hardy, BMO and even some $L^p$ spaces. In this work we generalize the classical approach and develop a theory of Hardy and BMO spaces associated to $L$, which includes, in particular, molecular decomposition, maximal function characterization, duality of Hardy and BMO spaces, John-Nirenberg inequality, and allows to handle aforementioned operators.
dc.description60 pages
dc.identifierhttps://arxiv.org/abs/math/0611804
dc.identifierhttp://arxiv.org/abs/math/0611804
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/124736
dc.subjectAnalysis of PDEs
dc.subject42B30, 42B35, 42B25, 35J15
dc.titleHardy and BMO spaces associated to divergence form elliptic operators
dc.typetext

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