Geodesic
Triebel-Lizorkin spaces on spaces of homogeneous type
Studia Mathematica, Tome 108 (1994) no. 3, pp. 247-273

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

In [HS] the Besov and Triebel-Lizorkin spaces on spaces of homogeneous type were introduced. In this paper, the Triebel-Lizorkin spaces on spaces of homogeneous type are generalized to the case where $p_0 p ≤ 1 ≤ q ∞$, and a new atomic decomposition for these spaces is obtained. As a consequence, we give the Littlewood-Paley characterization of Hardy spaces on spaces of homogeneous type which were introduced by the maximal function characterization in [MS2].
DOI : 10.4064/sm-108-3-247-273
Keywords: spaces of homogeneous type, $H^p$ and Triebel-Lizorkin spaces, Littlewood-Paley S-function, atomic decomposition

Y.-S Han 1

1 
@article{10_4064_sm_108_3_247_273,
     author = {Y.-S Han},
     title = {Triebel-Lizorkin spaces on spaces of homogeneous type},
     journal = {Studia Mathematica},
     pages = {247--273},
     publisher = {mathdoc},
     volume = {108},
     number = {3},
     year = {1994},
     doi = {10.4064/sm-108-3-247-273},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-108-3-247-273/}
}
TY  - JOUR
AU  - Y.-S Han
TI  - Triebel-Lizorkin spaces on spaces of homogeneous type
JO  - Studia Mathematica
PY  - 1994
SP  - 247
EP  - 273
VL  - 108
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm-108-3-247-273/
DO  - 10.4064/sm-108-3-247-273
LA  - en
ID  - 10_4064_sm_108_3_247_273
ER  - 
%0 Journal Article
%A Y.-S Han
%T Triebel-Lizorkin spaces on spaces of homogeneous type
%J Studia Mathematica
%D 1994
%P 247-273
%V 108
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/sm-108-3-247-273/
%R 10.4064/sm-108-3-247-273
%G en
%F 10_4064_sm_108_3_247_273
Y.-S Han. Triebel-Lizorkin spaces on spaces of homogeneous type. Studia Mathematica, Tome 108 (1994) no. 3, pp. 247-273. doi: 10.4064/sm-108-3-247-273

Cité par Sources :