Hardy spaces associated with non-negative self-adjoint operators
Studia Mathematica, Tome 239 (2017) no. 1, pp. 17-54
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
The maximal and atomic Hardy spaces $H^p$ and $H^p_A$, $0 \lt p\le 1$, are considered in the setting of a doubling metric measure space in the presence of a non-negative self-adjoint operator whose heat kernel has Gaussian localization. It is shown that $H^p=H^p_A$ with equivalent norms.
Keywords:
maximal atomic hardy spaces considered setting doubling metric measure space presence non negative self adjoint operator whose heat kernel has gaussian localization shown p equivalent norms
Affiliations des auteurs :
Shai Dekel 1 ; Gerard Kerkyacharian 2 ; George Kyriazis 3 ; Pencho Petrushev 4
@article{10_4064_sm8646_12_2016,
author = {Shai Dekel and Gerard Kerkyacharian and George Kyriazis and Pencho Petrushev},
title = {Hardy spaces associated with non-negative self-adjoint operators},
journal = {Studia Mathematica},
pages = {17--54},
publisher = {mathdoc},
volume = {239},
number = {1},
year = {2017},
doi = {10.4064/sm8646-12-2016},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm8646-12-2016/}
}
TY - JOUR AU - Shai Dekel AU - Gerard Kerkyacharian AU - George Kyriazis AU - Pencho Petrushev TI - Hardy spaces associated with non-negative self-adjoint operators JO - Studia Mathematica PY - 2017 SP - 17 EP - 54 VL - 239 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/sm8646-12-2016/ DO - 10.4064/sm8646-12-2016 LA - en ID - 10_4064_sm8646_12_2016 ER -
%0 Journal Article %A Shai Dekel %A Gerard Kerkyacharian %A George Kyriazis %A Pencho Petrushev %T Hardy spaces associated with non-negative self-adjoint operators %J Studia Mathematica %D 2017 %P 17-54 %V 239 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/sm8646-12-2016/ %R 10.4064/sm8646-12-2016 %G en %F 10_4064_sm8646_12_2016
Shai Dekel; Gerard Kerkyacharian; George Kyriazis; Pencho Petrushev. Hardy spaces associated with non-negative self-adjoint operators. Studia Mathematica, Tome 239 (2017) no. 1, pp. 17-54. doi: 10.4064/sm8646-12-2016
Cité par Sources :