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 …
Vladimir I. Bogachev Oleg G. Smolyanov Page 1 Moscow Lectures 4 Real and Functional Analysis Vladimir I. Bogachev Oleg G. Smolyanov Page 2 Moscow Lectures Volume 4 Series …
In this paper we discuss and prove an analogy of the Carleson–Hunt theorem with respect to Vilenkin systems. In particular, we use the theory of martingales and give a new and shorter …
Believe us, we also asked ourselves what could be the rationale for 'Yet another book on functional analysis'.(1) Little indeed can justify this beyond our own enjoyment of the beauty …
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 …
M Mirek, TZ Szarek, J Wright - Revista matemática iberoamericana, 2022 - ems.press
In this survey we review useful tools that naturally arise in the study of pointwise convergence problems in analysis, ergodic theory and probability. We will pay special …
V Lie - Annals of Mathematics, 2020 - projecteuclid.org
We prove affirmatively the one-dimensional case of a conjecture of Stein regarding the L^p- boundedness of the Polynomial Carleson operator for 1\ltp\lt∞. Our proof relies on two new …
M Lacey, X Li - Transactions of the American Mathematical Society, 2006 - ams.org
For a Schwartz function $ f $ on the plane and a non-zero $ v\in\mathbb {R}^ 2$ define the Hilbert transform of $ f $ in the direction $ v $ to be\begin {equation*}\operatorname H_vf …