Hardy and BMO spaces associated to divergence form elliptic operators

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Consider 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.
60 pages

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Analysis of PDEs, 42B30, 42B35, 42B25, 35J15

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http://salesiana.dossiersoluciones.com/handle/123456789/124736

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0611804
 http://arxiv.org/abs/math/0611804

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arXiv