New maximal functions and multiple weights for the multilinear Calderón–Zygmund theory

AK Lerner, S Ombrosi, C Pérez, RH Torres… - Advances in …, 2009 - Elsevier
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 …

Maximal operator and weighted norm inequalities for multilinear singular integrals

L Grafakos, RH Torres - Indiana University Mathematics Journal, 2002 - JSTOR
The maximal operator associated with multilinear Calderón-Zygmund singular integrals is
introduced and shown to be bounded on product of Lebesgue spaces. Moreover weighted …

Multi-linear operators given by singular multipliers

C Muscalu, T Tao, C Thiele - Journal of the American Mathematical Society, 2002 - ams.org
We prove $ L^ p $ estimates for a large class of multi-linear operators, which includes the
multi-linear paraproducts studied by Coifman and Meyer (1991), as well as the bilinear …

Sharp maximal function estimates

C Pérez, RH Torres - … Analysis at Mount Holyoke: Proceedings of …, 2003 - books.google.com
Sharp maximal function estimates Page 330 http://dx. doi. org/10.1090/conm/320/05615
Contemporary Mathematics Volume 320, 2003 Sharp maximal function estimates for multilinear …

Weighted estimates for a class of multilinear fractional type operators

X Chen, Q Xue - Journal of mathematical analysis and applications, 2010 - Elsevier
In this paper, a class of multiple fractional type weights A (p→, q) is defined as where
νω→=∏ i= 1mωi. And the necessary condition for the characterization of A (p→, q) is also …

End‐point estimates for iterated commutators of multilinear singular integrals

C Pérez, G Pradolini, RH Torres… - Bulletin of the …, 2014 - Wiley Online Library
Iterated commutators of multilinear Calderón–Zygmund operators and pointwise
multiplication with functions in bounded mean oscillation are studied in products of …

[图书][B] Multilinear analysis on metric spaces

L Grafakos, L Liu, D Maldonado, D Yang - 2014 - grafakos.missouri.edu
The multilinear Calderón–Zygmund theory is developed in the setting of RD-spaces which
are spaces of homogeneous type equipped with measures satisfying a reverse doubling …

Multilinear operators with non-smooth kernels and commutators of singular integrals

X Duong, L Grafakos, L Yan - Transactions of the American Mathematical …, 2010 - ams.org
We obtain endpoint estimates for multilinear singular integral operators whose kernels
satisfy regularity conditions significantly weaker than those of the standard Calderón …

Multilinear singular and fractional integral operators on generalized weighted Morrey spaces

VS Guliyev, MN Omarova - 2015 - openaccess.ahievran.edu.tr
Generalized Gegenbauer shift and some problems of the theory of approximation of functions
on the metric of L2,λ Page 1 Transactions of NAS of Azerbaijan, Issue Mathematics, 35 (4) …

Weighted estimates for the iterated commutators of multilinear maximal and fractional type operators

Q Xue - arXiv preprint arXiv:1105.4471, 2011 - arxiv.org
In this paper, the following iterated commutators $ T_ {*,\Pi b} $ of maximal operator for
multilinear singular integral operators and $ I_ {\alpha,\Pi b} $ of multilinear fractional …