Geodesic
Two-sided estimates for the approximation numbers of Hardy-type operators in $L^{∞}$ and L¹
Studia Mathematica, Tome 130 (1998) no. 2, pp. 171-192

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

In [2] and [3] upper and lower estimates and asymptotic results were obtained for the approximation numbers of the operator $T: L^p(ℝ^+) → L^p(ℝ^+)$ defined by $(Tf)(x) ≔ v(x) ʃ_{0}^{∞} u(t)f(t)dt$ when 1 p ∞. Analogous results are given in this paper for the cases p = 1,∞ not included in [2] and [3].
DOI : 10.4064/sm_1998_130_2_1_171_192

W. D. Evans 1 ; D. J. Harris 1 ; J. Lang 1

1 
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W. D.  Evans; D. J. Harris; J. Lang. Two-sided estimates for the approximation numbers of Hardy-type operators in $L^{∞}$ and L¹. Studia Mathematica, Tome 130 (1998) no. 2, pp. 171-192. doi: 10.4064/sm_1998_130_2_1_171_192

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