no. 3
Maximal singular integrals
Varopoulos, Nicolas1, 2
1 I.U.F. Université Paris VI
2 Dipartimento di Matematica e Applicazioni, Università di Milano Bicocca, Via Cozzi, 53, 20125 Milano, Italia
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 5, Volume 8 (2009) no. 3, pp. 583-612.

We prove the L p boundedness of the maximal operators attached to the singular kernels introduced in [1]. These kernels are obtained by multiplying (pointwise) a classical convolution Calderon-Zygmund kernel with the perturbing factor [a] x,y (cf. below). The importance of these perturbations lies in potential theoretic applications (cf. [2,4]).

Classification: 42B20,  42B25
Varopoulos, Nicolas 1, 2

1 I.U.F. Université Paris VI
2 Dipartimento di Matematica e Applicazioni, Università di Milano Bicocca, Via Cozzi, 53, 20125 Milano, Italia 
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Varopoulos, Nicolas. Maximal singular integrals. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 5, Volume 8 (2009) no. 3, pp. 583-612. http://www.numdam.org/item/ASNSP_2009_5_8_3_583_0/

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