An extension and trace theorem for functions of H-bounded variation in Carnot Groups of step 2

• Autores: Christina Selby
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 33, Nº 2, 2007, págs. 593-616
• Idioma: inglés
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• Resumen

  • This paper provides an extension of a function u in BVH (O) to a function u0 in BVH(G), when O is H-admissible and G is a Carnot group of step 2. It is shown that H-admissible domains include non-characteristic domains and domains in groups of Heisenberg type which have a partial symmetry about characteristic points. An example is given of a domain that is C1,a , a < 1, that is not H-admissible. Further, when O is H-admissible a trace theorem is proved for u in BVH(O).