TY - JOUR
T1 - L2 boundedness of the Cauchy transform implies L2 boundedness of all Calderón-Zygmund operators associated to odd kernels
AU - Tolsa, Xavier
PY - 2004/1/1
Y1 - 2004/1/1
N2 - Let μ be a Radon measure on C without atoms. In this paper we prove that if the Cauchy transform is bounded in L2(μ), then all 1-dimensional Calderón-Zygmund operators associated to odd and sufficiently smooth kernels are also bounded in L2(μ).
AB - Let μ be a Radon measure on C without atoms. In this paper we prove that if the Cauchy transform is bounded in L2(μ), then all 1-dimensional Calderón-Zygmund operators associated to odd and sufficiently smooth kernels are also bounded in L2(μ).
KW - Cauchy transform
KW - Corona decomposition
KW - L estimates 2
KW - Calderón-zygmund operators
KW - Non doubling measures
UR - https://dialnet.unirioja.es/servlet/articulo?codigo=1282355
U2 - 10.5565/PUBLMAT_48204_09
DO - 10.5565/PUBLMAT_48204_09
M3 - Article
SN - 0214-1493
VL - 48
SP - 445
EP - 479
JO - Publicacions Matematiques
JF - Publicacions Matematiques
ER -