Heat maximal function on a Lie group of exponential growth
Journal article, 2012
Let G be the Lie group R2 x R+ (semidirect product) endowed with the Riemannian
symmetric space structure. Let X0; X1; X2 be a distinguished basis of left-invariant
vector fields of the Lie algebra of G and write L for the corresponding Laplacian. In this paper, we show that the maximal function associated
with the heat kernel of L is bounded from the Hardy space H1 to
L1. We also prove that the heat maximal function does not provide a maximal
characterization of the Hardy space H1
maximal function
Heat kernel
exponential growth
rd-spaces
Hardy space
multipliers
Lie groups
h-1
bmo
hardy-spaces
operator
Author
Peter Sjögren
University of Gothenburg
Chalmers, Mathematical Sciences, Mathematics
Maria Vallarino
Polytechnic University of Turin
Published in
Annales Academiae Scientiarum Fennicae Mathematica
1239629x (ISSN) 17982383 (eISSN)
Vol. 37 Issue 2 p. 491-507Categorizing
Subject Categories (SSIF 2011)
Mathematical Analysis
Identifiers
DOI
10.5186/aasfm.2012.3729