Geodesic
Continuous rearrangements of the Haar system in $H_p$ for $0 p \infty$
Krzysztof Smela1
1 Department of Mathematics and Applied Physics Rzeszów University of Technology W. Pola 2 35-959 Rzeszów, Poland
Studia Mathematica, Tome 189 (2008) no. 2, pp. 189-199

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We prove three theorems on linear operators $T_{\tau,p} : H_p({\cal B}) \to H_p$ induced by rearrangement of a subsequence of a Haar system. We find a sufficient and necessary condition for $T_{\tau,p}$ to be continuous for $0 p \infty$.
DOI : 10.4064/sm189-2-6
Keywords: prove three theorems linear operators tau cal induced rearrangement subsequence haar system sufficient necessary condition tau continuous infty

Krzysztof Smela 1

1 Department of Mathematics and Applied Physics Rzeszów University of Technology W. Pola 2 35-959 Rzeszów, Poland 
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Krzysztof Smela. Continuous rearrangements of the Haar system
in $H_p$ for $0 < p < \infty$. Studia Mathematica, Tome 189 (2008) no. 2, pp. 189-199. doi: 10.4064/sm189-2-6

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