Cotas del tipo débil (1,1) para una clase de operadores con núcleo discreto

• Cardona, Duván ^[1]
  1. [1] Universidad del Valle
• Localización: Integración: Temas de matemáticas, ISSN 0120-419X, Vol. 33, Nº. 1, 2015 (Ejemplar dedicado a: Revista Integración), págs. 51-60
• Idioma: español
• Títulos paralelos:
  • Weak-type (1,1) bounds for a class of operators with discrete kernel
• Enlaces
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• Resumen
  • español

    En este trabajo se investigará el tipo débil (1,1) de una cierta clase de operadores con núcleo definido sobre Z×Z. Se estudiará la continuidad débil de operadores que son análogos discretos de los ahora conocidos, operadores singulares integrales de Calderón-Zygmund. Los operadores considerados surgen desde el estudio de operadores pseudo diferenciales de tipo discreto y versiones discretas de integrales singulares.

  • English

    In this paper we investigate the weak continuity of a certain class of operators with kernel defined on Z×Z. We prove some results on the weak boundedness of discrete analogues of Calderón Zygmund operators. The considered operators arise from the study of discrete pseudo-differential operators and discrete analogues of singular integral operators.

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