naa a22 4500 510810446 CHVBK 20180411083440.0 cr unu---uuuuu 180411e20130101xx s 000 0 eng 10.1007/s12220-011-9249-1 doi (NATIONALLICENCE)springer-10.1007/s12220-011-9249-1 Local Tb Theorems and Hardy Inequalities [Elektronische Daten] [Pascal Auscher, Eddy Routin] In the setting of spaces of homogeneous type, we give a direct proof of the local Tb theorem for singular integral operators. Motivated by questions of S.Hofmann, we extend it to the case when the integrability conditions are lower than 2, with an additional weak boundedness type hypothesis, which incorporates some Hardy type inequalities. The latter can be obtained from some geometric conditions on the homogeneous space. For example, we prove that the monotone geodesic property of Tessera suffices. Mathematica Josephina, Inc., 2011 Local Tb theorem nationallicence Singular integral operators nationallicence Space of homogeneous type nationallicence Hardy type inequalities nationallicence Auscher Pascal Laboratoire de Mathématiques, Université Paris-Sud, UMR 8628, 91405, Orsay, France aut Routin Eddy Laboratoire de Mathématiques, Université Paris-Sud, UMR 8628, 91405, Orsay, France aut Journal of Geometric Analysis Springer-Verlag 23/1(2013-01-01), 303-374 1050-6926 23:1<303 2013 23 12220 https://doi.org/10.1007/s12220-011-9249-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s12220-011-9249-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Auscher Pascal Laboratoire de Mathématiques, Université Paris-Sud, UMR 8628, 91405, Orsay, France aut NATIONALLICENCE 700 1- Routin Eddy Laboratoire de Mathématiques, Université Paris-Sud, UMR 8628, 91405, Orsay, France aut NATIONALLICENCE 773 0- Journal of Geometric Analysis Springer-Verlag 23/1(2013-01-01), 303-374 1050-6926 23:1<303 2013 23 12220 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer