RT Journal Article
T1 New maximal functions and multiple weights for the multilinear Calderón–Zygmund theory
A1 Lerner, Andrei
A1 Ombrosi, Sheldy Javier
A1 Pérez, Carlos
A1 Torres, Rodolfo
A1 Trujillo González, Rodrigo
AB A multi(sub)linear maximal operator that acts on the product of m Lebesgue spaces and is smaller than the m-fold product of the Hardy–Littlewood maximal function is studied. The operator is used to obtain a precise control on multilinear singular integral operators of Calderón–Zygmund type and to build a theory of weights adapted to the multilinear setting. A natural variant of the operator which is useful to control certain commutators of multilinear Calderón–Zygmund operators with BMO functions is then considered. The optimal range of strong type estimates, a sharp end-point estimate, and weighted norm inequalities involving both the classical Muckenhoupt weights and the new multilinear ones are also obtained for the commutators.
PB Advances in Mathematics
SN 0001-8708
YR 2009
FD 2009
LK https://hdl.handle.net/20.500.14352/97591
UL https://hdl.handle.net/20.500.14352/97591
LA eng
NO Lerner, Andrei K., et al. «New Maximal Functions and Multiple Weights for the Multilinear Calderón–Zygmund Theory». Advances in Mathematics, vol. 220, n.o 4, marzo de 2009, pp. 1222-64.  https://doi.org/10.1016/j.aim.2008.10.014.
DS Docta Complutense
RD 12 abr 2025