Multi-dimensional Fejér summability and local Hardy spaces
Ferenc Weisz
Studia Mathematica, Tome 192 (2009), p. 181-195 / Harvested from The Polish Digital Mathematics Library
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It is proved that the multi-dimensional maximal Fejér operator defined in a cone is bounded from the amalgam Hardy space W(hp,ℓ∞) to W(Lp,ℓ∞). This implies the almost everywhere convergence of the Fejér means in a cone for all f∈W(L₁,ℓ∞), which is larger than L₁(ℝd).

Publié le : 2009-01-01
EUDML-ID : urn:eudml:doc:284861 
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Ferenc Weisz. Multi-dimensional Fejér summability and local Hardy spaces. Studia Mathematica, Tome 192 (2009) pp. 181-195. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm194-2-5/