Geodesic
Boundedness of Stein's square functions and Bochner-Riesz means associated to operators on Hardy spaces
Czechoslovak Mathematical Journal, Tome 65 (2015) no. 1, pp. 61-82.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

Let $(X, d, \mu )$ be a metric measure space endowed with a distance $d$ and a nonnegative Borel doubling measure $\mu $. Let $L$ be a non-negative self-adjoint operator of order $m$ on $L^2(X)$. Assume that the semigroup ${\rm e}^{-tL}$ generated by $L$ satisfies the Davies-Gaffney estimate of order $m$ and $L$ satisfies the Plancherel type estimate. Let $H^p_L(X)$ be the Hardy space associated with $L.$ We show the boundedness of Stein's square function ${\mathcal G}_{\delta }(L)$ arising from Bochner-Riesz means associated to $L$ from Hardy spaces $H^p_L(X)$ to $L^{p}(X)$, and also study the boundedness of Bochner-Riesz means on Hardy spaces $H^p_L(X)$ for $0$.
DOI : 10.1007/s10587-015-0160-y
Classification : 42B15, 42B25, 47F05
Keywords: non-negative self-adjoint operator; Stein's square function; Bochner-Riesz means; Davies-Gaffney estimate; molecule Hardy space 
@article{10_1007_s10587_015_0160_y,
     author = {Yan, Xuefang},
     title = {Boundedness of {Stein's} square functions and {Bochner-Riesz} means associated to operators on {Hardy} spaces},
     journal = {Czechoslovak Mathematical Journal},
     pages = {61--82},
     publisher = {mathdoc},
     volume = {65},
     number = {1},
     year = {2015},
     doi = {10.1007/s10587-015-0160-y},
     mrnumber = {3336025},
     zbl = {06433721},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1007/s10587-015-0160-y/}
}
TY  - JOUR
AU  - Yan, Xuefang
TI  - Boundedness of Stein's square functions and Bochner-Riesz means associated to operators on Hardy spaces
JO  - Czechoslovak Mathematical Journal
PY  - 2015
SP  - 61
EP  - 82
VL  - 65
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1007/s10587-015-0160-y/
DO  - 10.1007/s10587-015-0160-y
LA  - en
ID  - 10_1007_s10587_015_0160_y
ER  - 
%0 Journal Article
%A Yan, Xuefang
%T Boundedness of Stein's square functions and Bochner-Riesz means associated to operators on Hardy spaces
%J Czechoslovak Mathematical Journal
%D 2015
%P 61-82
%V 65
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1007/s10587-015-0160-y/
%R 10.1007/s10587-015-0160-y
%G en
%F 10_1007_s10587_015_0160_y
Yan, Xuefang. Boundedness of Stein's square functions and Bochner-Riesz means associated to operators on Hardy spaces. Czechoslovak Mathematical Journal, Tome 65 (2015) no. 1, pp. 61-82. doi : 10.1007/s10587-015-0160-y. http://geodesic.mathdoc.fr/articles/10.1007/s10587-015-0160-y/

Cité par Sources :