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 …

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 …

We prove a (sharp) pointwise estimate for positive dyadic shifts of complexity m which is
linear in the complexity. This can be used to give a pointwise estimate for Calderón …

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 …

We use an appropriate factorization of the Ap weights to give another proof of the
extrapolation theorem of Rubio de Francia. It provides sharp bounds in terms of the Ap …

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 …

In this work we prove off-diagonal, limited range, multilinear, vector-valued, and two-weight
versions of the Rubio de Francia extrapolation theorem in general quasi-Banach function …

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 …

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 …