On pointwise convergence of sequential Boussinesq operator-Reference-Cited by-同舟云学术

On pointwise convergence of sequential Boussinesq operator

Published:2024 Issue:8 Volume:9 Page:22301-22320
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Li Dan¹,Chen Fangyuan²

Affiliation:

1. School of Mathematics and Statistics, Beijing Technology and Business University, Beijing 100048, China

2. School of Arts and Sciences, Beijing Institute of Fashion Technology, Beijing, 100029, China

Abstract

<p>We study the almost everywhere pointwise convergence of the Boussinesq operator along sequences $ \{t_n\}_{n = 1}^\infty $ with $ \lim\limits_{n\rightarrow \infty} t_n = 0 $ in one dimension. We obtain a characterization of convergence almost everywhere when $ \{t_n\}\in l^{r, \infty}(\mathbb{N}) $ for all $ f\in H^s(\mathbb{R}) $ provided $ 0 < s < \frac12 $.</p>

Publisher

American Institute of Mathematical Sciences (AIMS)

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