Results 241 to 250 of about 223,909 (283)

Almost everywhere convergence for noncommutative spaces

Banach Journal of Mathematical Analysis, 2022
The authors introduce various notions of almost uniform and almost everywhere convergence in Haagerup \(L^p\)-spaces over an arbitrary von Neumann algebra, using spectral projections of the operators in the sequence under consideration. These are first demonstrated in the case of a semifinite von Neumann algebra.
Christian Budde, L. Labuschagne, C. Steyn   +2 more
semanticscholar   +3 more sources

Almost Everywhere Convergence for Lebesgue Differentiation Processes Along Rectangles

Journal of Fourier Analysis and Applications, 2022
In this paper, we study Lebesgue differentiation processes along rectangles $$R_k$$ R k shrinking to the origin in the Euclidean plane, and the question of their almost everywhere convergence in $$L^p$$ L p spaces.
E. D’Aniello, Anthony Gauvan, Laurent Moonens, Joseph M. Rosenblatt   +3 more
semanticscholar   +1 more source

Almost Everywhere Convergent Fourier Series

Journal of Fourier Analysis and Applications, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Carro, M. J., Mastyło, M., Rodríguez-Piazza, L.   +2 more
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Remarks on Almost Everywhere Convergence and Approximate Identities

Acta Mathematica Sinica, English Series
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Sean Douglas, Loukas Grafakos
semanticscholar   +2 more sources

A Note on Almost Everywhere Convergence Along Tangential Curves to the Schrödinger Equation Initial Datum

Journal of Geometric Analysis
In this short note, we give an easy proof of the following result: for n≥2,\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek ...
Javier Minguill'on
semanticscholar   +1 more source

Almost everywhere convergence of Fourier integrals

Archiv der Mathematik, 1995
In this paper, we prove that if \(f \in L^ p (\mathbb{R}^ n)\), for certain \(p\) and \(n\), satisfies \[ \lim_{\lambda \downarrow 1} \varlimsup_{R \to \infty} \int_{R < | \xi | \leq \lambda R} \bigl | \widehat f(\xi) \bigr | d \xi = 0, \] then, for almost all \(x \in \mathbb{R}^ n\), \(\int_{| \xi | \leq R} \widehat f (\xi) e^{ix \cdot \xi} d \xi ...
Chen, Chang-Pao, Lin, Chin-Cheng
openaire   +1 more source

Almost Everywhere Convergence

2016
We have seen in Part II the importance of a.e. convergence in integration theory. The purpose of this last chapter of our book is to clarify its relationship to other convergence notions.
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Almost Everywhere Convergence of Convolution Measures

Canadian Mathematical Bulletin, 2012
AbstractLet (X, ℬ, m, τ) be a dynamical system with (X, ℬ, m) a probability space and τ an invertible, measure preserving transformation. This paper deals with the almost everywhere convergence in L1(X) of a sequence of operators of weighted averages.
Karin Reinhold, Anna K. Savvopoulou, Christopher M. Wedrychowicz   +2 more
openaire   +1 more source

Almost everywhere convergence of weighted averages

Mathematische Annalen, 1992
Given a sequence \((\mu_ n)\) of probability measures on \(Z\), and an invertible measure-preserving transformation \(\tau\) of a probability space \((X,\beta,m)\), the averages \(\mu_ nf(x)=\sum^{\infty}_{k=- \infty}\mu_ n(k)f(\tau^ kx)\) are bounded operators on \(L^ p(m)\), \(1\leq p\leq\infty\).
Bellow, Alexandra, Jones, Roger L., Rosenblatt, Joseph   +2 more
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Uniqueness of Almost Everywhere Convergent Vilenkin Series

Canadian Mathematical Bulletin, 2004
AbstractD. J. Grubb [3] has shown that uniqueness holds, under a mild growth condition, for Vilenkin series which converge almost everywhere to zero. We show that, under even less restrictive growth conditions, one can replace the limit function 0 by an arbitrary f ∈ Lq, when q > 1.
openaire   +1 more source