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BOCHNER: 作品数：132被引量：108H指数：5; 导出分析报告; 相关领域：理学更多>>; 相关作者：林良裕王丽丽乔玉英欧阳崇珍朱诗红更多>>; 相关机构：厦门大学河北师范大学安徽师范大学西北师范大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金福建省自然科学基金河北省自然科学基金安徽省高校省级自然科学研究项目更多>>

A Weighted Maximal L_(2) Estimate of Operator-valued Bochner–Riesz Means: 《Acta Mathematica Sinica,English Series》2025年第1期78-98,共21页Guixiang Hong Liyuan Zhang; Supported by NSFC(Grant Nos.12071355,12325105,12031004,W2441002);Fundamental Research Funds for the Central Universities(Grant No.2042022kf1185)。; In this paper,we establish a weighted maximal L_(2) estimate of operator-valued Bochner–Riesz means.The proof is based on noncommutative square function estimates and a sharp weighted noncommutative Hardy–Littlewood...; 关键词：Noncommutative L_(p)-space noncommutative maximal norm Bochner–Riesz means

三种定义域下Bohr概周期函数与Bochner概周期函数等价性的证明: 《绍兴文理学院学报》2024年第8期47-52,共6页赵莉莉; 云南省教育厅自然科学基金项目“时标上人工神经网络的概自守型解”(2020J0020);云南大学教育教学改革项目“基于教育数学的高等数学教学改革与实践”(2023Y22)。; 采用构造法与反证法,针对实数集、整数集,以及时标的不同特点,分别给出了三种定义域下,Bohr概周期函数与Bochner概周期函数等价性的证明。; 关键词：Bohr概周期函数 Bochner概周期函数实数集整数集时标

Bochner-Martinelli Formula for Higher Spin Operators of Several R^(6) Variables: 《Chinese Annals of Mathematics,Series B》2023年第4期489-500,共12页Guangzhen REN Qianqian KANG; supported by the National Nature Science Foundation of China(Nos.12101564,11801508,11801523);the Nature Science Foundation of Zhejiang Province(No.LY22A010013)。; The higher spin operator of several R^(6)variables is an analogue of the■-operator in theory of several complex variables.The higher spin representation of so6(C)is⊙^(k)C_(4)and the higher spin operator D_(k) acts o...; 关键词：Higher spin operator k-Monogenic Bochner-Martinelli formula Pen-rose integral formula

The Eigenvalues of a Class of Elliptic Differential Operators: 《Journal of Partial Differential Equations》2023年第1期58-67,共10页HABIBI VOSTA KOLAEI Mohammad Javad AZAMI Shahroud; Consider(M,g)as an n-dimensional compact Riemannian manifold.In this paper we are going to study a class of elliptic differential operators which appears naturally in the study of hypersurfaces with constant mean curv...; 关键词：Eigenvalue problem elliptic operators Bochner type formula

A NEW PROOF OF GAFFNEY’S INEQUALITY FOR DIFFERENTIAL FORMS ON MANIFOLDS-WITH-BOUNDARY:THE VARIATIONAL APPROACH à LA KOZONO-YANAGISAWA: 《Acta Mathematica Scientia》2022年第4期1427-1452,共26页Siran LI; supported by MOE-LSC Project#AF0710029/011。; Let(M,g_(0))be a compact Riemannian manifold-with-boundary.We present a new proof of the classical Gaffney inequality for differential forms in boundary value spaces over M,via a variational approach a la Kozono-Yanag...; 关键词：Gaffney’s inequality differential form Sobolev spaces on manifolds Bochner technique variational approach

关于Bochner张量具有消灭条件的梯度收缩Kähler-Ricci孤立子: 《华东师范大学学报（自然科学版）》2022年第4期26-30,共5页沈东刘建成; 国家自然科学基金(11761061,12161078);西北师范大学研究生科研资助项目(2020KYZZ001129)。; 研究完备梯度收缩Kähler-Ricci孤立子,在Bochner张量的4阶散度等于零的条件下(即div^(4)(W)=▽_(k)▽_(j)▽_(i)▽_(l)W_(ijkl)=0),得到了其分类结果.; 关键词：Kähler-Ricci孤立子 Bochner张量调和Bochner张量

芬斯勒流形上的Bochner不等式及热方程整体解的构造: 《重庆师范大学学报（自然科学版）》2022年第2期69-75,共7页程新跃卿春燕谭聪; 国家自然科学基金项目(No.11871126);重庆师范大学研究基金(No.17XLB022)。; 【目的】研究芬斯勒几何中的Bochner公式及与Laplacian算子相关的问题。【方法】利用偏微分方程及Sobolev空间的相关理论展开讨论。【结果】利用L;-梯度估计证明了一个重要的Bochner不等式,讨论了芬斯勒流形上热方程整体解的应用并构造...; 关键词：芬斯勒流形加权Ricci曲率 Bochner不等式热方程

THE ∂∂^(-)-BOCHNER FORMULAS FOR HOLOMORPHIC MAPPINGS BETWEEN HERMITIAN MANIFOLDS AND THEIR APPLICATIONS被引量：2: 《Acta Mathematica Scientia》2021年第5期1659-1669,共11页Kai TANG; supported by National Natural Science Foundation of China(12001490);Natural Science Foundation of Zhejiang Province(LQ20A010005).; In this paper,we derive some∂∂^(-)-Bochner formulas for holomorphic maps between Hermitian manifolds.As applications,we prove some Schwarz lemma type estimates,and some rigidity and degeneracy theorems.For instance,we...; 关键词：Schwarz lemmas Bochner formulas holomorphic map Hermitian manifolds ℓ-second Ricci curvature

Littlewood-Paley Functions and Triebel-Lizorkin Spaces,Besov Spaces: 《Analysis in Theory and Applications》2021年第3期267-288,共22页Dashan Fan Fayou Zhao; supported by National Natural Science Foundation of China(Grant Nos.11971295,11871108 and 11871436);Natural Science Foundation of Shanghai(No.19ZR1417600).; We establish Littlewood-Paley charaterizations of Triebel-Lizorkin spaces and Besov spaces in Euclidean spaces using several square functions defined via the spherical average,the ball average,the Bochner-Riesz means ...; 关键词：Littlewood-Paley square functions Triebel-Lizorkin spaces Besov spaces spherical average ball average Bochner-Riesz means.

On the Spectra of a Family of Geometric Operators Evolving with Geometric Flows: 《Communications in Mathematics and Statistics》2021年第2期181-202,共22页D.M.Tsonev R.R.Mesquita; In this work we generalise various recent results on the evolution and monotonicity of the eigenvalues of certain family of geometric operators under some geometric flows.In an attempt to understand the arising simila...; 关键词：Witten-Laplacian EIGENVALUES Monotonicity of eigenvalues Ricci flow Ricci–Bourguignon flow Yamabe flow Bochner formula Reilly formula

BOCHNER