TY - JOUR
T1 - LP estimates for the maximal singular integral in terms of the singular integral
AU - Bosch-Camós, Anna
AU - Orobitg, Joan
AU - Mateu Bennassar, Juan Eugenio
PY - 2015/4/20
Y1 - 2015/4/20
N2 - © 2015, Hebrew University Magnes Press. This paper continues the study, initiated in [MOV] and [MOPV], of the problem of controlling the maximal singular integral T* f by the singular integral Tf. Here, T is a smooth homogeneous Calderón-Zygmund singular integral operator of convolution type. We consider two forms of control, namely, in the weighted Lp(ω) norm and via pointwise estimates of T* f by M(Tf) or M2(Tf), where M is the Hardy-Littlewood maximal operator and M2 = M po M its iteration. The novelty with respect to the aforementioned works lies in the fact that here p is different from 2 and the Lp space is weighted.
AB - © 2015, Hebrew University Magnes Press. This paper continues the study, initiated in [MOV] and [MOPV], of the problem of controlling the maximal singular integral T* f by the singular integral Tf. Here, T is a smooth homogeneous Calderón-Zygmund singular integral operator of convolution type. We consider two forms of control, namely, in the weighted Lp(ω) norm and via pointwise estimates of T* f by M(Tf) or M2(Tf), where M is the Hardy-Littlewood maximal operator and M2 = M po M its iteration. The novelty with respect to the aforementioned works lies in the fact that here p is different from 2 and the Lp space is weighted.
U2 - https://doi.org/10.1007/s11854-015-0018-0
DO - https://doi.org/10.1007/s11854-015-0018-0
M3 - Article
SN - 0021-7670
VL - 126
SP - 287
EP - 306
JO - Journal d'Analyse Mathematique
JF - Journal d'Analyse Mathematique
ER -