We study the validity of the inequality for the Riesz transform when and of its reverse inequality when on complete riemannian manifolds under the doubling property and some Poincaré inequalities.
@article{ASNSP_2005_5_4_3_531_0, author = {Auscher, Pascal and Coulhon, Thierry}, title = {Riesz transform on manifolds and {Poincar\'e} inequalitie}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {531--555}, publisher = {Scuola Normale Superiore, Pisa}, volume = {Ser. 5, 4}, number = {3}, year = {2005}, mrnumber = {2185868}, zbl = {1116.58023}, language = {en}, url = {http://archive.numdam.org/item/ASNSP_2005_5_4_3_531_0/} }
TY - JOUR AU - Auscher, Pascal AU - Coulhon, Thierry TI - Riesz transform on manifolds and Poincaré inequalitie JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 2005 SP - 531 EP - 555 VL - 4 IS - 3 PB - Scuola Normale Superiore, Pisa UR - http://archive.numdam.org/item/ASNSP_2005_5_4_3_531_0/ LA - en ID - ASNSP_2005_5_4_3_531_0 ER -
%0 Journal Article %A Auscher, Pascal %A Coulhon, Thierry %T Riesz transform on manifolds and Poincaré inequalitie %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 2005 %P 531-555 %V 4 %N 3 %I Scuola Normale Superiore, Pisa %U http://archive.numdam.org/item/ASNSP_2005_5_4_3_531_0/ %G en %F ASNSP_2005_5_4_3_531_0
Auscher, Pascal; Coulhon, Thierry. Riesz transform on manifolds and Poincaré inequalitie. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 5, Volume 4 (2005) no. 3, pp. 531-555. http://archive.numdam.org/item/ASNSP_2005_5_4_3_531_0/
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