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JOHN DOMAINS AND HOMOGENEOUS CONE CONDITION ON THE CARNOT GROUP

    https://doi.org/10.1142/9789812794253_0007Cited by:0 (Source: Crossref)
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    Abstract:

    We obtained that on general Carnot group there are John domains which don't satisfy interior homogeneous cone condition (IHCC) and exterior homogeneous cone condition (EHCC) together. On 2-step Carnot group we proved that there are simply connected John domains which don't satisfy (IHCC) and (EHCC) together.