Continuous rearrangements of the Haar system in $H_p$ for 0 < p < ∞

Krzysztof Smela. "Continuous rearrangements of the Haar system in $H_{p}$ for 0 < p < ∞." Studia Mathematica 189.2 (2008): 189-199. <http://eudml.org/doc/285061>.

@article{KrzysztofSmela2008,
abstract = {We prove three theorems on linear operators $T_\{τ,p\}: H_\{p\}(ℬ) → H_\{p\}$ induced by rearrangement of a subsequence of a Haar system. We find a sufficient and necessary condition for $T_\{τ,p\}$ to be continuous for 0 < p < ∞.},
author = {Krzysztof Smela},
journal = {Studia Mathematica},
keywords = {Haar system; dyadic Hardy space; rearrangement; Carleson packing constant},
language = {eng},
number = {2},
pages = {189-199},
title = {Continuous rearrangements of the Haar system in $H_\{p\}$ for 0 < p < ∞},
url = {http://eudml.org/doc/285061},
volume = {189},
year = {2008},
}

TY - JOUR
AU - Krzysztof Smela
TI - Continuous rearrangements of the Haar system in $H_{p}$ for 0 < p < ∞
JO - Studia Mathematica
PY - 2008
VL - 189
IS - 2
SP - 189
EP - 199
AB - We prove three theorems on linear operators $T_{τ,p}: H_{p}(ℬ) → H_{p}$ induced by rearrangement of a subsequence of a Haar system. We find a sufficient and necessary condition for $T_{τ,p}$ to be continuous for 0 < p < ∞.
LA - eng
KW - Haar system; dyadic Hardy space; rearrangement; Carleson packing constant
UR - http://eudml.org/doc/285061
ER -