Estimates for the Hardy-Littlewood maximal function on the Heisenberg group
Jacek Zienkiewicz
Colloquium Mathematicae, Tome 103 (2005), p. 199-205 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

We prove the dimension free estimates of the Lp→Lp, 1< p ≤ ∞, norms of the Hardy-Littlewood maximal operator related to the optimal control balls on the Heisenberg group ℍⁿ.

Publié le : 2005-01-01
EUDML-ID : urn:eudml:doc:283693 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm103-2-5,
     author = {Jacek Zienkiewicz},
     title = {Estimates for the Hardy-Littlewood maximal function on the Heisenberg group},
     journal = {Colloquium Mathematicae},
     volume = {103},
     year = {2005},
     pages = {199-205},
     zbl = {1092.43005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm103-2-5}
}

Jacek Zienkiewicz. Estimates for the Hardy-Littlewood maximal function on the Heisenberg group. Colloquium Mathematicae, Tome 103 (2005) pp. 199-205. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm103-2-5/