Operadores pseudodiferenciales definidos en medidas de Borel

• Cardona, Duván ^[1]
  1. [1] Universidad del Valle
• Localización: Integración: Temas de matemáticas, ISSN 0120-419X, Vol. 31, Nº. 1, 2013 (Ejemplar dedicado a: Revista Integración), págs. 25-42
• Idioma: español
• Títulos paralelos:
  • Pseudo-differential operators definedon Borel measures
• Enlaces
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• Resumen
  • español

    En este trabajo se introduce un tipo de operadores pseudodiferenciales definidos en medidas de Borel. Clásicamente la definición de operadores pseudodiferenciales se extiende al espacio de las distribuciones temperadas; sin embargo, en su representación no interviene el análisis de Fourier en espacios de medidas. El objetivo principal es definir tales operadores en un ángulo diferente y establecer resultados de continuidad entre espacios normados adecuados, además de proporcionar una conexión con la teoría de operadores pseudodiferenciales con símbolos en las clases Sm, definidas en Rn y el toroTn.

  • English

    In this paper we introduce a type of pseudo-differential operators defined on Borel measures. Classically the definition of pseudo-differential operators extends the tempered distributions space, but in its representation does not intervene the Fourier analysis in measures spaces. The main objective is to define such operators at a different angle and establish boundedness results on suitable normed spaces, in addition to providing a connection withthe pseudo-differential operators theory with symbols in the classes Sm, defined on Rn and the torus Tn.

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