QUANTITATIVE WEIGHTED BOUNDS FOR VARIATION OPERATORS ASSOCIATED WITH HEAT SEMIGROUPS IN THE SCHRÖDINGER SETTING

IF 0.7 4区数学 Q2 MATHEMATICS

Rocky Mountain Journal of Mathematics Pub Date : 2023-10-01 DOI:10.1216/rmj.2023.53.1645

Yongming Wen, Huoxiong Wu

引用次数: 2

Abstract

We obtain the quantitative weighted strong-type and weak-type estimates for variation operators associated with heat semigroups in the Schrödinger setting. In particular, we first established the quantitative endpoint bound for such operators in the Schrödinger setting, which is the main novelty of our results.

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在schrÖdinger设置中与热半群相关的变异算子的定量加权界

我们得到了在Schrödinger设置下与热半群相关的变分算子的定量加权强型和弱型估计。特别是，我们首先在Schrödinger设置中建立了这些算子的定量端点界，这是我们结果的主要新颖之处。

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

Rocky Mountain Journal of Mathematics 数学-数学

CiteScore

1.20

自引率

12.50%

发文量

审稿时长

7.5 months

期刊介绍： Rocky Mountain Journal of Mathematics publishes both research and expository articles in mathematics, and particularly invites well-written survey articles. The Rocky Mountain Journal of Mathematics endeavors to publish significant research papers and substantial expository/survey papers in a broad range of theoretical and applied areas of mathematics. For this reason the editorial board is broadly based and submissions are accepted in most areas of mathematics. In addition, the journal publishes specialized conference proceedings.