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Almost Everywhere Convergence of Bochner–Riesz Means on Hardy–Sobolev Spaces
We investigate the convergence of Bochner–Riesz means on Hardy–Sobolev spaces. The relation between the smoothness imposed on functions and the rate...
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Almost everywhere convergence for noncommutative spaces
Almost everywhere convergence is an essential part of classical measure theory. However, when passing to the quantum setting of noncommutative
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Almost Everywhere Convergence of T Means with Respect to the Vilenkin System of Integrable Functions
We prove and discuss some new weak-type (1,1) inequalities for the maximal operators of T means with respect to the Vilenkin system generated by...
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Generalized Localization and Summability Almost Everywhere of Multiple Fourier Series and Integrals
It is well known that Luzin’s conjecture has a positive solution for one-dimensional trigonometric Fourier series, but in the multidimensional case...
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Vilenkin–Lebesgue Points and Almost Everywhere Convergence for Some Classical Summability Methods
The concept of Vilenkin–Lebesgue points was introduced in [
12 ], where the almost everywhere convergence of Fejer means of Vilenkin–Fourier series was... -
Almost everywhere convergence and divergence of Cesàro means with varying parameters of Walsh–Fourier series
In the present paper, we prove the almost everywhere convergence and divergence of subsequences of Cesàro means with zero tending parameters of...
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Martingales and Almost Everywhere Convergence of Partial Sums of Vilenkin-Fourier Series
Topics of almost everywhere convergence and convergence in Lp-norm of classical operators related to Vilenkin-Fourier series widely use methods of...
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Almost everywhere summability of two-dimensional walsh-fourier series
It is proved that the maximal operators of subsequences of Cesàro means with varying parameters of two-dimensional Walsh-Fourier series is bounded...
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Almost Sure Convergence of Moment-Based Estimators
In the following, we investigate the moment-based problem, cf. (1.10), especially the so far unexamined almost sure convergence. The whole chapter is...
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Almost Everywhere Convergence of Multiple Trigonometric Fourier Series of Functions from Sobolev Classes
AbstractIn this paper, we study the almost everywhere convergence of spherical partial sums of multiple Fourier series of functions from Sobolev...
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Almost everywhere divergence of Cesàro means of subsequences of partial sums of trigonometric Fourier series
In this paper, we investigate the relationship between pointwise convergence of the arithmetic means corresponding to the subsequence of partial...
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Almost Everywhere Convergence of the Cesàro Means of Two Variablewalsh–Fourier Series with Variable Parameters
It is shown that the maximal operator of some ( C, β n )-means of cubical partial sums of two variable Walsh–Fourier series of integrable functions is...
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Almost everywhere convergence of spline sequences
We prove the analogue of the Martingale Convergence Theorem for polynomial spline sequences. Given a natural number k and a sequence ( t i ) of knots in...
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The Pointwise Convergence Along Curve Associated with Boussinesq Operator
In this paper, we study the almost everywhere pointwise convergence of the Boussinesq operator along curve γ ( x, t ) in ℝ. It is shown that
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Uniform Boundedness of Sequence of Operators Associated with the Walsh System and Their Pointwise Convergence
Revisiting the main point of the almost everywhere convergence, it becomes clear that a weak (1,1)-type inequality must be established for the...