info:eu-repo/semantics/article
On the Calderón-Zygmund structure of Petermichl's kernel
Sur la structure Calderón-Zygmund du noyau de Petermichl
Fecha
2018-05Registro en:
Aimar, Hugo Alejandro; Gomez, Ivana Daniela; On the Calderón-Zygmund structure of Petermichl's kernel; Elsevier France-editions Scientifiques Medicales Elsevier; Comptes Rendus Mathematique; 356; 5; 5-2018; 509-516
1631-073X
CONICET Digital
CONICET
Autor
Aimar, Hugo Alejandro
Gomez, Ivana Daniela
Resumen
We show that Petermichl's dyadic operator P (Petermichl (2000) [8]) is a Calderón–Zygmund-type operator on an adequate metric normal space of homogeneous type. We also compare the maximal operators associated with truncations of the kernel and to the summability of the Haar series.