Geodesic
Multi-dimensional Fejér summability and local Hardy spaces
Ferenc Weisz 1
1 Department of Numerical Analysis Eötvös L. University Pázmány P. sétány 1//C H-1117 Budapest, Hungary
Studia Mathematica, Tome 194 (2009) no. 2, pp. 181-195 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 $W(h_{p},\ell_\infty)$ to $W(L_{p},\ell_\infty)$. This implies the almost everywhere convergence of the Fejér means in a cone for all $f\in W(L_{1},\ell_\infty)$, which is larger than $L_1(\mathbb R^d)$.
DOI : 10.4064/sm194-2-5
Keywords: proved multi dimensional maximal fej operator defined cone bounded amalgam hardy space ell infty ell infty implies almost everywhere convergence fej means cone ell infty which larger mathbb

Ferenc Weisz  1

1 Department of Numerical Analysis Eötvös L. University Pázmány P. sétány 1//C H-1117 Budapest, Hungary 
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Ferenc Weisz. Multi-dimensional Fejér summability and local Hardy spaces. Studia Mathematica, Tome 194 (2009) no. 2, pp. 181-195. doi: 10.4064/sm194-2-5

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