This first chapter formulates the objectives of compressive sensing. It introduces the
standard compressive problem studied throughout the book and reveals its ubiquity in many …

Plugin estimation of smooth optimal transport maps Page 1 The Annals of Statistics 2024, Vol.
52, No. 3, 966–998 https://doi.org/10.1214/24-AOS2379 © Institute of Mathematical Statistics …

The great response to the publication of my book Classical and Modern Fourier Analysis in
2004 has been especially gratifying to me. I was delighted when Springer offered to publish …

This book is a result of our ten-year fruitful collaboration. It deals with integral operators of
harmonic analysis and their various applications in new, non-standard function spaces …

Title: Morrey spaces: introduction and applications to integral operators and PDE's/Yoshihiro
Sawano, Giuseppe Di Fazio, Denny Ivanal Hakim. Description: First edition.| Boca Raton …

This article is divided into two parts. In the first part we present a general theory of the dyadic
lattices. In the second part we show several applications of this theory to harmonic analysis …

A rigorous but accessible introduction to the mathematical theory of the three-dimensional
Navier–Stokes equations, this book provides self-contained proofs of some of the most …

During the last 60 years the theory of function spaces has been a subject of growing interest
and increasing diversity. Based on three formally different developments, namely, the theory …

We show that in the Kato–Ponce inequality Js(fg)− fJsgp%∂ f∞ Js− 1gp+ Jsfp g∞, the Jsf
term on the right-hand side can be replaced by Js− 1∂ f. This solves a question raised in …

This article unifies the theory for Hardy spaces built on Banach lattices on ${\mathbb {R}}^ n
$ satisfying certain weak conditions on indicator functions of balls. The authors introduce a …