H 1 − L 1 boundedness of Riesz transforms on Riemannian manifolds and on graphs
Russ, Emmanuel
HAL, hal-01617991 / Harvested from HAL
Text on HAL
We prove that the Riesz transforms are bounded from H 1 to L 1 on complete Riemannian manifolds and on graphs with the doubling property and the Poincaré inequality.
Publié le : 2001-07-04
Classification:  42B30,  58G11,  Riesz transforms,  heat kernel,  Markov kernel,  H 1,  Hörmander integral condition,  AMS Subject Classification (1991): 42B20, 42B30, 58G11, ,  [MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA] 
@article{hal-01617991,
     author = {Russ, Emmanuel},
     title = {H 1 - L 1 boundedness of Riesz transforms on Riemannian manifolds and on graphs},
     journal = {HAL},
     volume = {2001},
     number = {0},
     year = {2001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01617991}
}

Russ, Emmanuel. H 1 − L 1 boundedness of Riesz transforms on Riemannian manifolds and on graphs. HAL, Tome 2001 (2001) no. 0, . http://gdmltest.u-ga.fr/item/hal-01617991/