Geodesic
Multiplier transformations on $H^{p}$ spaces
Studia Mathematica, Tome 131 (1998) no. 2, pp. 189-204

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

The authors obtain some multiplier theorems on $H^p$ spaces analogous to the classical $L^p$ multiplier theorems of de Leeuw. The main result is that a multiplier operator $(Tf)^(x) = λ(x)f̂(x)$ $(λ ∈ C(ℝ^n))$ is bounded on $H^p(ℝ^n)$ if and only if the restriction ${λ(εm)}_{m∈Λ}$ is an $H^p(T^n)$ bounded multiplier uniformly for ε>0, where Λ is the integer lattice in $ℝ^n$.
DOI : 10.4064/sm-131-2-189-204

Daning Chen 1 ;  1

1 
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Daning Chen;  . Multiplier transformations on $H^{p}$ spaces. Studia Mathematica, Tome 131 (1998) no. 2, pp. 189-204. doi: 10.4064/sm-131-2-189-204

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