Maximal operators related to block spaces
Al-Qassem, H. M.
Kodai Math. J., Tome 28 (2005) no. 1, p. 494-510 / Harvested from Project Euclid
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In this paper, we prove appropriate Lp bounds for a class of maximal operators $\mathcal{S}_\Omega$ related to singular integrals with kernels which belong to block spaces and are supported by subvarieties. Also, we show that our condition on the kernel is optimal for the L2 boundedness of $\mathcal{S}_\Omega$ . Our results improve substantially the main result obtained by L. K. Chen and H. Lin in [CL].
Publié le : 2005-10-14
Classification:  
@article{1134397763,
     author = {Al-Qassem, H. M.},
     title = {Maximal operators related to block spaces},
     journal = {Kodai Math. J.},
     volume = {28},
     number = {1},
     year = {2005},
     pages = { 494-510},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1134397763}
}

Al-Qassem, H. M. Maximal operators related to block spaces. Kodai Math. J., Tome 28 (2005) no. 1, pp.  494-510. http://gdmltest.u-ga.fr/item/1134397763/