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Global Homotopy Formulas on q-Concave CR Manifolds for Large Degrees

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Abstract

Using functional analysis and a Friedrichs approximation lemma for first order differential operators, we derive a global homotopy formula in large degrees for the tangential Cauchy-Riemann operator from local homotopy formulas without loss of regularity.

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Correspondence to T. Brönnle.

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Communicated by Alexander Isaev.

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Brönnle, T., Laurent-Thiébaut, C. & Leiterer, J. Global Homotopy Formulas on q-Concave CR Manifolds for Large Degrees. J Geom Anal 20, 90–106 (2010). https://doi.org/10.1007/s12220-009-9100-0

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  • DOI: https://doi.org/10.1007/s12220-009-9100-0

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