The rate of convergence on fractional power dissipative operator on some sobolev type spaces

IF 1 4区数学

Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2021-09-20 DOI:10.1007/s11766-021-3901-8

Zhen-bin Cao, Meng Wang

引用次数: 0

Abstract

In [3], Chen, Deng, Ding and Fan proved that the fractional power dissipative operator is bounded on Lebesgue spaces L^p(ℝⁿ), Hardy spaces H^p(ℝⁿ) and general mixed norm spaces, which implies almost everywhere convergence of such operator. In this paper, we study the rate of convergence on fractional power dissipative operator on some sobolev type spaces.

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一类sobolev型空间上分数阶幂耗散算子的收敛速度

在[3]中，Chen、Deng、Ding和Fan证明了分数幂耗散算子在Lebesgue空间Lp上是有界的(ℝn），Hardy空间Hp(ℝn）以及一般的混合范数空间，这意味着这种算子几乎处处收敛。本文研究了一些sobolev型空间上分数阶幂耗散算子的收敛速度。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Applied Mathematics-A Journal of Chinese Universities Series B MATHEMATICS, APPLIED-

自引率

10.00%

发文量

期刊介绍： Applied Mathematics promotes the integration of mathematics with other scientific disciplines, expanding its fields of study and promoting the development of relevant interdisciplinary subjects. The journal mainly publishes original research papers that apply mathematical concepts, theories and methods to other subjects such as physics, chemistry, biology, information science, energy, environmental science, economics, and finance. In addition, it also reports the latest developments and trends in which mathematics interacts with other disciplines. Readers include professors and students, professionals in applied mathematics, and engineers at research institutes and in industry. Applied Mathematics - A Journal of Chinese Universities has been an English-language quarterly since 1993. The English edition, abbreviated as Series B, has different contents than this Chinese edition, Series A.