Revista Integración, temas de matemáticas.

Revista Integración, temas de matemáticas

Vol. 33 No. 1 (2015): Revista Integración, temas de matemáticas
Research and Innovation Articles

Weak-type (1,1) bounds for a class of operators with discrete kernel

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  • Duván Cardona
Duván Cardona
Universidad del Valle

Published 2015-05-21

Keywords

  • Lp spaces,
  • discrete operator,
  • pseudo-differential operator,
  • Calderón-Zygmund decomposition

How to Cite

Cardona, D. (2015). Weak-type (1,1) bounds for a class of operators with discrete kernel. Revista Integración, Temas De matemáticas, 33(1), 51–60. Retrieved from https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/4769

Abstract

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.

To cite this article: D. Cardona, Weak-type (1,1) bounds for a class of operators with discrete kernel, Rev. Integr. Temas Mat. 33 (2015), no. 1, 51-60.
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