Systems of dyadic cubes in a doubling metric space

T Hytönen, A Kairema - arxiv preprint arxiv:1012.1985, 2010 - arxiv.org
A number of recent results in Euclidean Harmonic Analysis have exploited several adjacent
systems of dyadic cubes, instead of just one fixed system. In this paper, we extend such …

Bi-parameter paraproducts

C Muscalu, J Pipher, T Tao, C Thiele - 2004 - projecteuclid.org
Bi-parameter paraproducts Page 1 Acta Math., 193 (2004), 269-296 (~) 2004 by Institut
Mittag-Leffier. All rights reserved Bi-parameter paraproducts CAMIL MUSCALU Cornell …

Domination of multilinear singular integrals by positive sparse forms

A Culiuc, F Di Plinio, Y Ou - Journal of the London Mathematical …, 2018 - Wiley Online Library
We establish a uniform domination of the family of trilinear multiplier forms with singularity
over a one‐dimensional subspace by positive sparse forms involving L p‐averages. This …

The lifespan of small data solutions in two dimensional capillary water waves

M Ifrim, D Tataru - Archive for Rational Mechanics and Analysis, 2017 - Springer
This article is concerned with the incompressible, irrotational infinite depth water wave
equation in two space dimensions, without gravity but with surface tension. We consider this …

A Hörmander type multiplier theorem for multilinear operators

N Tomita - Journal of Functional Analysis, 2010 - Elsevier
A Hörmander type multiplier theorem for multilinear operators Page 1 Journal of Functional
Analysis 259 (2010) 2028–2044 www.elsevier.com/locate/jfa A Hörmander type multiplier …

Parabolic Muckenhoupt weights with time lag on spaces of homogeneous type with monotone geodesic property

J Kinnunen, K Myyryläinen, D Yang, C Zhu - Potential Analysis, 2024 - Springer
This work discusses parabolic Muckenhoupt weights with time lag on spaces of
homogeneous type with an extra monotone geodesic property. The main results include a …

Carleson measures, trees, extrapolation, and T (b) theorems

P Auscher, S Hofmann, C Muscalu, T Tao… - Publicacions …, 2002 - JSTOR
The theory of Carleson measures, stop** time arguments, and atomic decompositions has
been well-established in harmonic analysis. More recent is the theory of phase space …

[BOOK][B] Time-frequency and time-scale methods: adaptive decompositions, uncertainty principles, and sampling

JA Hogan, JD Lakey - 2005 - Springer
Developed in this book are several deep connections between time-frequency
(Fourier/Gabor) analysis and time-scale (wavelet) analysis, emphasizing the powerful …

[BOOK][B] Convergence and Summability of Fourier Transforms and Hardy Spaces

F Weisz - 2017 - Springer
Convergence and Summability of Fourier Transforms and Hardy Spaces Page 1 Applied and
Numerical Harmonic Analysis Ferenc Weisz Convergence and Summability of Fourier …

[BOOK][B] Wave packet analysis

C Thiele - 2006 - books.google.com
The concept of``wave packet analysis''originates in Carleson's famous proof of almost
everywhere convergence of Fourier series of $ L2 $ functions. It was later used by Lacey …