Almost everywhere convergence of entangled ergodic averages [PDF]
Integral Equations and Operator Theory, 2016 We study pointwise convergence of entangled averages of the form \[ \frac{1}{N^k}\sum_{1\leq n_1,\ldots, n_k\leq N} T_m^{n_{\alpha(m)}}A_{m-1}T^{n_{\alpha(m-1)}}_{m-1}\ldots A_2T_2^{n_{\alpha(2)}}A_1T_1^{n_{\alpha(1)}} f, \] where $f\in L^2(X,\mu ...
Kunszenti-Kovács, Dávid
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Some weak type inequalities and almost everywhere convergence of Vilenkin–Nörlund means
Journal of Inequalities and Applications, 2023 We prove and discuss some new weak type ( 1 , 1 ) $(1,1 ) $ inequalities of maximal operators of Vilenkin–Nörlund means generated by monotone coefficients. Moreover, we use these results to prove a.e. convergence of such Vilenkin–Nörlund means.
Davit Baramidze +3 more
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New characterizations of magnetic Sobolev spaces [PDF]
Advances in Nonlinear Analysis, 2018 We establish two new characterizations of magnetic Sobolev spaces for Lipschitz magnetic fields in terms of nonlocal functionals. The first one is related to the BBM formula, due to Bourgain, Brezis and Mironescu. The second one is related to the work of
Nguyen Hoai-Minh +3 more
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Matrix transformations of sequences and applications in Fourier analysis [PDF]
HeliyonIn the presented paper we consider a sequence and its Nörlud and a generalized mean derived from a matrix transformation. Furthermore, sufficient conditions for the matrix are found which implies the converges of the generalized matrix means from the ...
Ushangi Goginava +3 more
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Almost everywhere convergence of Fej\'er means of two-dimensional triangular Walsh-Fourier series [PDF]
, 2017 In 1987 Harris proved (Proc. Amer. Math.
Gát, György
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Almost Everywhere Convergence Questions of Series of Translates of Non-Negative Functions [PDF]
Real Analysis Exchange, 2022 This survey paper is based on a talk given at the 44th Summer Symposium in Real Analysis in Paris. This line of research was initiated by a question of Haight and Weizs\"aker concerning almost everywhere convergence properties of series of the form ...
Z. Buczolich
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On Another Type of Convergence for Intuitionistic Fuzzy Observables
Mathematics, 2023 The convergence theorems play an important role in the theory of probability and statistics and in its application. In recent times, we studied three types of convergence of intuitionistic fuzzy observables, i.e., convergence in distribution, convergence
Katarína Čunderlíková
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Norm and almost everywhere convergence of matrix transform means of Walsh-Fourier series
Acta Universitatis Sapientiae: Mathematica, 2023 We show the uniformly boundedness of the L1 norm of general matrix transform kernel functions with respect to the Walsh-Paley system. Special such matrix means are the well-known Cesàro, Riesz, Bohner-Riesz means.
I. Blahota, G. Gát
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Pointwise convergence problem of free Benjamin-Ono-Burgers equation
AIMS Mathematics, 2022 In this paper, we show the almost everywhere pointwise convergence of free Benjamin-Ono-Burgers equation in $ H^{s}({\bf{R}}) $ with $ s > 0 $ with the aid of the maximal function estimate.
Fei Zuo, Junli Shen
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Vilenkin–Lebesgue Points and Almost Everywhere Convergence for Some Classical Summability Methods
Mediterranean Journal of Mathematics, 2022 The concept of Vilenkin–Lebesgue points was introduced in [ 12 ], where the almost everywhere convergence of Fejer means of Vilenkin–Fourier series was proved.
N. Nadirashvili +3 more
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