On pointwise convergence of schrödinger means
WebFinally, we show the stochastic continuity of Schrödinger equation with random data in $\hat{L}^{r}(\mathbb{R}^n)(2\leq r<\infty)$ almost surely. The main ingredients are Lemmas 2.4, 2.5, 3.2-3.4. In this paper, we consider the convergence problem of … Web19 de jul. de 2024 · Pointwise convergence of sequential Schrödinger means @article{Cho2024PointwiseCO, title={Pointwise convergence of sequential Schr{\"o}dinger means}, author={Chu-hee Cho and Hyerim Ko and Youngwoo Koh and Sanghyuk Lee}, journal={Journal of Inequalities and Applications}, year={2024}, volume={2024} }
On pointwise convergence of schrödinger means
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Web4. Convergence using the Abel mean The issues surrounding the convergence of the Fourier series are not straight-forward. The Fourier series of a function integrable on [ ˇ;ˇ] does not converge pointwise to the function itself since the derivation of Fourier coe cients is done through integration. For example, consider this piecewise-de ned ... Web11 de abr. de 2024 · We study pointwise convergence of the fractional Schrödinger means along sequences tn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts}
Web11 de abr. de 2024 · On pointwise convergence of Schrödinger means. Mathematika 66 , 356–372 (2024) Article MathSciNet MATH Google Scholar Web3 de dez. de 2024 · Therefore, this yields a.e. convergence of S R λ (H) f for f ∈ L p (R n) if λ > λ (p) / 2. The use of weighted L 2 estimate in the study of pointwise convergence for Bochner-Riesz means goes back to Carbery et al. [8]. It turned out that the same strategy is also efficient for similar problems in different settings.
Web30 de mar. de 2024 · here a > 0, a ≠ 1. For decreasing convex sequences we obtain a simple characterization of convergence a.e. for all functions in H s when 0 < s < lim min {} { a / 4, 1 / 4 } and a ≠ 1. We prove sharp quantitative local and global estimates for the … Web4 de out. de 2024 · Theorem 2. The function f in theorem A can be chosen so that f \in H_ {\omega }. Theorem 2 shows that the sufficient condition f\in H_ {1/4} for convergence …
Web16 de out. de 2024 · For functions in the Sobolev space Hs and decreasing sequences tn→0 we examine convergence almost everywhere of the generalized Schrödinger means …
Web20 de nov. de 2024 · Wenjuan Li, Huiju Wang, Dunyan Yan We consider pointwise convergence of nonelliptic Schrödinger means for and decreasing sequences converging to zero, where We prove that when , holds for all if and only if , . Moreover, our result remains valid in general dimensions. Submission history From: Huiju Wang [ view email ] photo minecraft steveWebIn this paper, we investigate the probabilistic pointwise convergence problem of Schrödinger equation on the manifolds. We prove probabilistic pointwise convergence of the solutions to Schrödinger equations with the initial data in L 2 ( T n), where T = [ 0, 2 π), which require much less regularity for the initial data than the rough data case. photo minimizer onlineWebWe also prove probabilistic pointwise convergence of the solutions to Schrödinger equation with Dirichlet boundary condition for a large set of random initial data in $\cap … photo mini labs in st simons island gaWeb1 de abr. de 2024 · Request PDF On Pointwise Convergence Of Schrödinger Means For functions in the Sobolev space Hs and decreasing sequences tn→0 we examine … photo millie bobby brown rareWeb1 de jan. de 2006 · Abstract. We study the almost everywhere convergence of the solutions to Schrödinger equations in ℛ 2.It is shown that lim t→0 e itΔ f = f almost everywhere for all f ∈ H s if s > 3/8. photo minerveWeb14 de jul. de 2016 · Vega L.: Schrödinger equations: pointwise convergence to the initial data. Proc. Am. Math. Soc. 102(4), 874–878 (1988) MATH Google Scholar Yajima K.: Existence of solutions for Schrödinger evolution equations. Commun. Math. Phys. 110(3), 415–426 (1987) Article ADS MATH Google Scholar how does inflation affect consumer spendingWebLegend Limited access: U-M users only Access by request Access by request how does inflation affect china