On the Hörmander's estimate

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications Pub Date : 2025-04-02 DOI:10.1016/j.jmaa.2025.129549

Bingyuan Liu

引用次数: 0

Abstract

The motivation of the note is to obtain a Hörmander-type

L^{2}

estimate for

\bar{\partial}

equation. The feature of the new estimate is that the constant in the estimate is independent of the weight function. Moreover, our estimate can be used for non-plurisubharmonic weight function. Besides, our proof is new and different from the classical proofs.

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根据Hörmander的估计

笔记的动机是获得∂¯方程的Hörmander-type L2估计。新估计的特点是估计中的常数与权函数无关。此外，我们的估计可以用于非多次谐波权函数。此外，我们的证明是新的，不同于经典的证明。

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

Journal of Mathematical Analysis and Applications 数学-数学

CiteScore

2.50

自引率

7.70%

发文量

790

审稿时长

6 months

期刊介绍： The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Papers are sought which employ one or more of the following areas of classical analysis: • Analytic number theory • Functional analysis and operator theory • Real and harmonic analysis • Complex analysis • Numerical analysis • Applied mathematics • Partial differential equations • Dynamical systems • Control and Optimization • Probability • Mathematical biology • Combinatorics • Mathematical physics.