The weak type inequality for the Walsh system

Ushangi Goginava

Studia Mathematica, Tome 187 (2008), p. 35-48 / Harvested from The Polish Digital Mathematics Library

Résumé

The main aim of this paper is to prove that the maximal operator $σ^{}$ is bounded from the Hardy space $H_{1 / 2}$ to weak- $L_{1 / 2}$ and is not bounded from $H_{1 / 2}$ to $L_{1 / 2}$ .

Publié le : 2008-01-01

Zbl 1213.42098

EUDML-ID : urn:eudml:doc:284729

@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm185-1-2,
     author = {Ushangi Goginava},
     title = {The weak type inequality for the Walsh system},
     journal = {Studia Mathematica},
     volume = {187},
     year = {2008},
     pages = {35-48},
     zbl = {1213.42098},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm185-1-2}
}

Ushangi Goginava. The weak type inequality for the Walsh system. Studia Mathematica, Tome 187 (2008) pp. 35-48. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm185-1-2/