Two-sided estimates for the approximation numbers of Hardy-type operators in $L^{\infty }$ and L¹

Evans, W., Harris, D., and Lang, J.. "Two-sided estimates for the approximation numbers of Hardy-type operators in $L^{∞}$ and L¹." Studia Mathematica 130.2 (1998): 171-192. <http://eudml.org/doc/216550>.

@article{Evans1998,
abstract = {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].},
author = {Evans, W., Harris, D., Lang, J.},
journal = {Studia Mathematica},
keywords = {upper and lower estimates; asymptotic results; approximation numbers},
language = {eng},
number = {2},
pages = {171-192},
title = {Two-sided estimates for the approximation numbers of Hardy-type operators in $L^\{∞\}$ and L¹},
url = {http://eudml.org/doc/216550},
volume = {130},
year = {1998},
}

TY - JOUR
AU - Evans, W.
AU - Harris, D.
AU - Lang, J.
TI - Two-sided estimates for the approximation numbers of Hardy-type operators in $L^{∞}$ and L¹
JO - Studia Mathematica
PY - 1998
VL - 130
IS - 2
SP - 171
EP - 192
AB - 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].
LA - eng
KW - upper and lower estimates; asymptotic results; approximation numbers
UR - http://eudml.org/doc/216550
ER -