On multilinear singular integrals of Calderón-Zygmund type.

Grafakos, Loukas, and Torres, Rodolfo H.. "On multilinear singular integrals of Calderón-Zygmund type.." Publicacions Matemàtiques 46.Extra (2002): 57-91. <http://eudml.org/doc/41608>.

@article{Grafakos2002,
abstract = {A variety of results regarding multilinear singular Calderón-Zygmund integral operators is systematically presented. Several tools and techniques for the study of such operators are discussed. These include new multilinear endpoint weak type estimates, multilinear interpolation, appropriate discrete decompositions, a multilinear version of Schur's test, and a multilinear version of the T1 Theorem suitable for the study of multilinear pseudodifferential and translation invariant operators. A maximal operator associated with multilinear singular integrals is also introduced and employed to obtain wiegted norm inequalities.[Proceedings of the 6th International Conference on Harmonic Analysis and Partial Differential Equations, El Escorial (Madrid), 2002].},
author = {Grafakos, Loukas, Torres, Rodolfo H.},
journal = {Publicacions Matemàtiques},
keywords = {weighted norm inequalities; maximal operator; Hilbert transform; pseudodifferential operators; wavelets; multilinear Calderón-Zygmund singular integral operators; multilinear endpoint weak type estimates; interpolation; discrete decompositions; Schur's test; T1 Theorem},
language = {eng},
number = {Extra},
pages = {57-91},
title = {On multilinear singular integrals of Calderón-Zygmund type.},
url = {http://eudml.org/doc/41608},
volume = {46},
year = {2002},
}

TY - JOUR
AU - Grafakos, Loukas
AU - Torres, Rodolfo H.
TI - On multilinear singular integrals of Calderón-Zygmund type.
JO - Publicacions Matemàtiques
PY - 2002
VL - 46
IS - Extra
SP - 57
EP - 91
AB - A variety of results regarding multilinear singular Calderón-Zygmund integral operators is systematically presented. Several tools and techniques for the study of such operators are discussed. These include new multilinear endpoint weak type estimates, multilinear interpolation, appropriate discrete decompositions, a multilinear version of Schur's test, and a multilinear version of the T1 Theorem suitable for the study of multilinear pseudodifferential and translation invariant operators. A maximal operator associated with multilinear singular integrals is also introduced and employed to obtain wiegted norm inequalities.[Proceedings of the 6th International Conference on Harmonic Analysis and Partial Differential Equations, El Escorial (Madrid), 2002].
LA - eng
KW - weighted norm inequalities; maximal operator; Hilbert transform; pseudodifferential operators; wavelets; multilinear Calderón-Zygmund singular integral operators; multilinear endpoint weak type estimates; interpolation; discrete decompositions; Schur's test; T1 Theorem
UR - http://eudml.org/doc/41608
ER -