A maximal function on harmonic extensions of -type groups
Annales mathématiques Blaise Pascal, Tome 13 (2006) no. 1, pp. 87-101
Let be an -type group and be its harmonic extension. We study a left invariant Hardy–Littlewood maximal operator on , obtained by taking maximal averages with respect to the right Haar measure over left-translates of a family of neighbourhoods of the identity. We prove that the maximal operator is of weak type .
@article{AMBP_2006__13_1_87_0,
author = {Vallarino, Maria},
title = {A maximal function on harmonic extensions of $H$-type groups},
journal = {Annales math\'ematiques Blaise Pascal},
pages = {87--101},
year = {2006},
publisher = {Annales math\'ematiques Blaise Pascal},
volume = {13},
number = {1},
doi = {10.5802/ambp.214},
zbl = {1137.43003},
mrnumber = {2233012},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.5802/ambp.214/}
}
TY - JOUR AU - Vallarino, Maria TI - A maximal function on harmonic extensions of $H$-type groups JO - Annales mathématiques Blaise Pascal PY - 2006 SP - 87 EP - 101 VL - 13 IS - 1 PB - Annales mathématiques Blaise Pascal UR - http://geodesic.mathdoc.fr/articles/10.5802/ambp.214/ DO - 10.5802/ambp.214 LA - en ID - AMBP_2006__13_1_87_0 ER -
%0 Journal Article %A Vallarino, Maria %T A maximal function on harmonic extensions of $H$-type groups %J Annales mathématiques Blaise Pascal %D 2006 %P 87-101 %V 13 %N 1 %I Annales mathématiques Blaise Pascal %U http://geodesic.mathdoc.fr/articles/10.5802/ambp.214/ %R 10.5802/ambp.214 %G en %F AMBP_2006__13_1_87_0
Vallarino, Maria. A maximal function on harmonic extensions of $H$-type groups. Annales mathématiques Blaise Pascal, Tome 13 (2006) no. 1, pp. 87-101. doi: 10.5802/ambp.214
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