Maximal singular integrals
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 5, Volume 8 (2009) no. 3, p. 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 
@article{ASNSP_2009_5_8_3_583_0,
     author = {Varopoulos, Nicolas},
     title = {Maximal singular integrals},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     publisher = {Scuola Normale Superiore, Pisa},
     volume = {Ser. 5, 8},
     number = {3},
     year = {2009},
     pages = {583-612},
     zbl = {1206.42018},
     mrnumber = {2581427},
     language = {en},
     url = {http://www.numdam.org/item/ASNSP_2009_5_8_3_583_0}
}

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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