[图书][B] Measure theory

VI Bogachev, MAS Ruas - 2007 - Springer
Includes material for a standard graduate class, advanced material not covered by the
standard course but necessary in order to read research literature in the area, and extensive …

[图书][B] Morrey spaces: introduction and applications to integral operators and PDE's, Volume I

Y Sawano - 2020 - taylorfrancis.com
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 …

[图书][B] Real and functional analysis

VI Bogachev, OG Smolyanov - 2020 - Springer
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 …

An analogy of the Carleson–Hunt theorem with respect to Vilenkin systems

LE Persson, F Schipp, G Tephnadze… - Journal of Fourier Analysis …, 2022 - Springer
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 …

[图书][B] Functional analysis, spectral theory, and applications

M Einsiedler, T Ward - 2017 - Springer
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 …

[图书][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 …

Oscillation inequalities in ergodic theory and analysis: one-parameter and multi-parameter perspectives

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 …

The polynomial Carleson operator

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 …

Maximal theorems for the directional Hilbert transform on the plane

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 …

The (Weak-L2) Boundedness of the Quadratic Carleson Operator

V Lie - Geometric and Functional Analysis, 2009 - Springer
THE (WEAK-L2 ) BOUNDEDNESS OF THE QUADRATIC CARLESON OPERATOR Victor Lie 1
Introduction Page 1 THE (WEAK-L2 ) BOUNDEDNESS OF THE QUADRATIC CARLESON …