[图书][B] Modern fourier analysis

L Grafakos - 2009 - Springer
I am truly elated to have had the opportunity to write the present third edition of this book,
which is a sequel to GTM 249 Classical Fourier Analysis, 3rd Edition. This edition was born …

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 …

Extrapolation from A∞ weights and applications

D Cruz-Uribe, JM Martell, C Pérez - Journal of Functional Analysis, 2004 - Elsevier
We generalize the Ap extrapolation theorem of Rubio de Francia to A∞ weights in the
context of Muckenhoupt bases. Our result has several important features. First, it can be …

Weighted inequalities for multilinear fractional integral operators

K Moen - Collectanea mathematica, 2009 - Springer
A weighted theory for multilinear fractional integral operators and maximal functions is
presented. Sufficient conditions for the two weight inequalities of these operators are found …

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 …

[PDF][PDF] Multilinear Calder\'on-Zygmund operators on Hardy spaces

L Grafakos, N Kalton - arXiv preprint math/0010075, 2000 - arxiv.org
arXiv:math/0010075v1 [math.FA] 8 Oct 2000 Page 1 arXiv:math/0010075v1 [math.FA] 8 Oct
2000 MULTILINEAR CALDERON-ZYGMUND OPERATORS ON HARDY SPACES LOUKAS …

Extrapolation with weights, rearrangement-invariant function spaces, modular inequalities and applications to singular integrals

GP Curbera, J García-Cuerva, JM Martell… - Advances in …, 2006 - Elsevier
We present an extrapolation theory that allows us to obtain, from weighted Lp inequalities on
pairs of functions for p fixed and all A∞ weights, estimates for the same pairs on very …

Extrapolation of weighted norm inequalities for multivariable operators and applications

L Grafakos, JM Martell - The Journal of Geometric Analysis, 2004 - Springer
Two versions of Rubio de Francia's extrapolation theorem for multivariable operators of
functions are obtained. One version assumes an initial estimate with different weights in …

On multilinear singular integrals of Calderón-Zygmund type

L Grafakos, RH Torres - Publicacions Matematiques, 2002 - ddd.uab.cat
A variety of results regarding multilinear Calderón-Zygmund singular integral operators is
systematically presented. Several tools and techniques for the study of such operators are …

Compact bilinear operators and commutators

Á Bényi, R Torres - Proceedings of the American Mathematical Society, 2013 - ams.org
A notion of compactness in the bilinear setting is explored. Moreover, commutators of
bilinear Calderón-Zygmund operators and multiplication by functions in a certain subspace …