Estimativos L² para una clase de operadores
pseudodiferenciales definidos en el toro

DUVÁN CARDONA^*

Universidad del Valle, Departamento de Matemáticas, A.A 25360, Cali, Colombia.

Resumen. En este trabajo se establecen estimativos L² para operadores pseudodiferenciales definidos en el toro. Los operadores considerados surgen del estudio de operadores entre grupos abelianos localmente compactos.
Palabras claves: Operadores pseudo-diferenciales, continuidad en L², grupos localmente compactos.
MSC2010: 47G30, 65R10.

L²-Estimates for a class of pseudo-differential operators defined on the torus

Abstract. In this work we establish L² estimates from pseudo-differential operators defined on the torus. Such operators arise from the study of operators on locally compact abelian groups.
Keywords: Pseudo-differential operators, L²-boundedness, locally compact groups.

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Referencias

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^*E-mail: duvanc306@gmail.com
Recibido: 20 de agosto de 2013, Aceptado: 19 de noviembre de 2013.