Journal of Functional Analysis最新文献

英文中文

A sharp restricted Hölder's inequality and its application to the norm of localization operators 一个尖锐限制Hölder不等式及其在定位算子规范中的应用

IF 1.6 2区数学 Q1 MATHEMATICS

Journal of Functional Analysis

Pub Date : 2025-11-04 DOI: 10.1016/j.jfa.2025.111259

Weichao Guo , Shifei Lin , Guoping Zhao

The first purpose of this paper is to consider the optimal estimate for the operator norm

{‖ L_{F} ‖}_{L (L^{2})}

of time-frequency localization operator

L_{F}

with normalized Gaussian window

g_{0}

and symbol function F, under the assumptions that

F \in L^{p} \cap L^{\infty}

with

| \tilde{supp} F | = | {z \in R^{2 d} : | F (z) | \neq 0} | \leq M

. To achieve this goal, we use the connection between such an optimal estimate and the restricted Hölder's inequality associated with a Gaussian weight. Based on this connection, our second purpose is to study a general version of restricted-type Hölder inequalities, which is of independent interest. We provide optimal upper bounds for the quantity

\int_{R^{d}} | f (x) g (x) | d x

with general functions g, assuming

f \in L^{p} \cap L^{\infty}

with

| \tilde{supp} f | \leq M

. We also give a full characterization of the optimal functions, whose shape depends on

| \tilde{supp} f |

| \tilde{supp} g |

and the magnitude relationship between

{({‖ f ‖}_{L^{p}} / {‖ f ‖}_{L^{\infty}})}^{p}

and

本文的第一个目的是考虑具有归一化高斯窗g0和符号函数F的时频定位算子LF的算子范数‖LF‖L（L2）的最优估计，假设F∈Lp∩L∞，且|∈R2d:|F(z)|≠0}|≤M。为了实现这一目标，我们使用了这种最优估计和与高斯权重相关的受限Hölder不等式之间的联系。基于这种联系，我们的第二个目的是研究限制型Hölder不等式的一般版本，这是一个独立的兴趣。在一般函数g下，假设f∈Lp∩L∞且|≤M，我们给出了∫Rd|f(x)g(x)|dx的最优上界。我们还给出了最优函数的完整表征，其形状取决于| supv ~ f|， | supv ~ g|以及（‖f‖Lp/‖f‖L∞）p和（‖g‖Lp ‘ /‖g‖L∞）p ’之间的大小关系。当这些量满足一定条件时，就会出现最优函数的截断现象，形成问题的中心部分。

引用次数: 0

New weighted Alexandrov-Fenchel type inequalities and Minkowski inequalities in space forms 空间形式中新的加权Alexandrov-Fenchel型不等式和Minkowski不等式

IF 1.6 2区数学 Q1 MATHEMATICS

Journal of Functional Analysis

Pub Date : 2025-11-04 DOI: 10.1016/j.jfa.2025.111252

Jie Wu

In this paper, we establish a broad class of new sharp Alexandrov-Fenchel inequalities involving general convex weight functions for static convex hypersurfaces in hyperbolic space. Additionally, we derive new weighted Minkowski-type inequalities for static convex hypersurfaces in hyperbolic space

H^{n}

and for convex hypersurfaces in the sphere

S^{n}

. The tools we shall use are the locally constrained inverse curvature flows in hyperbolic space and in the sphere.

本文建立了双曲空间中静态凸超曲面上涉及一般凸权函数的一类新的尖锐Alexandrov-Fenchel不等式。此外，我们还为双曲空间Hn中的静态凸超曲面和球面Sn中的凸超曲面导出了新的加权minkowski型不等式。我们将使用的工具是双曲空间和球面上的局部约束逆曲率流。

引用次数: 0

Dispersive estimates for Dirac equations in Aharonov-Bohm magnetic fields: Massless case Aharonov-Bohm磁场中Dirac方程的色散估计：无质量情况

IF 1.6 2区数学 Q1 MATHEMATICS

Journal of Functional Analysis

Pub Date : 2025-11-04 DOI: 10.1016/j.jfa.2025.111267

Federico Cacciafesta , Piero D'Ancona , Zhiqing Yin , Junyong Zhang

In this paper we study the dispersive properties of a two dimensional massless Dirac equation perturbed by an Aharonov–Bohm magnetic field. Our main results will be a family of pointwise decay estimates and a full range family Strichartz estimates for the flow. The proof relies on the use of a relativistic Hankel transform, which allows for an explicit representation of the propagator in terms of the generalized eigenfunctions of the operator. These results represent the natural continuation of earlier research on evolution equations associated to operators with magnetic fields with strong singularities (see [21], [36], [37] where the Schrödinger and the wave equations were studied). Indeed, we recall the fact that the Aharonov–Bohm field represents a perturbation which is critical with respect to the scaling: this fact, as it is well known, makes the analysis particularly challenging.

本文研究了二维无质量狄拉克方程在Aharonov-Bohm磁场扰动下的色散性质。我们的主要结果将是一个点衰减估计族和一个流的全范围族Strichartz估计。证明依赖于相对论汉克尔变换的使用，它允许用算子的广义特征函数来显式表示传播子。这些结果代表了早期与具有强奇点磁场的算符相关的演化方程研究的自然延续（见[21]，[36],[37]，其中研究了Schrödinger和波动方程）。事实上，我们记得，Aharonov-Bohm场代表了一个对尺度至关重要的扰动：众所周知，这一事实使分析特别具有挑战性。

引用次数: 0

Growth of holomorphic extensions of orbit maps at the boundary of the crown 轨道图在树冠边界全纯扩展的生长

IF 1.6 2区数学 Q1 MATHEMATICS

Journal of Functional Analysis

Pub Date : 2025-11-04 DOI: 10.1016/j.jfa.2025.111261

Tobias Simon

The Krötz-Stanton Extension Theorem states that the orbit map

π^{v}

of a K-finite vector

v \in H^{[K]}

in an admissible Hilbert representation

(π, H)

of a linear Lie group extends to a holomorphic map to a certain bundle over the complex crown domain. We extend this theorem to arbitrary connected semisimple Lie groups and prove that the norms of these extensions grow at most polynomially at the boundary of the crown. Using this, we show that the orbit maps

π^{v}

have boundary values in the space of distribution vectors

H^{- \infty}

Krötz-Stanton可拓定理指出在线性李群的可容许希尔伯特表示（π，H）中，K有限向量v∈H[K]的轨道映射πv可拓为复冠域上某束的全纯映射。我们将这一定理推广到任意连通半单李群，并证明了这些扩展的模在冠的边界处最多多项式地增长。由此证明了轨道映射πv在分布向量H−∞空间中具有边值。

引用次数: 0

Wiener's Tauberian theorem in classical and quantum harmonic analysis 经典与量子调和分析中的维纳陶伯里定理

IF 1.6 2区数学 Q1 MATHEMATICS

Journal of Functional Analysis

Pub Date : 2025-11-04 DOI: 10.1016/j.jfa.2025.111265

Robert Fulsche , Franz Luef , Reinhard F. Werner

We investigate Wiener's Tauberian theorem from the perspective of limit functions, which results in several new versions of the Tauberian theorem. Based on this, we formulate and prove analogous Tauberian theorems for operators in the sense of quantum harmonic analysis. Using these results, we characterize the class of slowly oscillating operators and show that this class is strictly larger than the class of uniformly continuous operators. Finally, we discuss uniform versions of Wiener's Tauberian theorem and its operator analogue and provide an application of this in operator theory.

本文从极限函数的角度研究了维纳陶陶里安定理，得到了陶陶里安定理的几个新版本。在此基础上，我们给出并证明了量子调和分析意义上算子的类似的陶伯利定理。利用这些结果，我们刻画了慢振荡算子的性质，并证明了该类严格大于一致连续算子的性质。最后，我们讨论了维纳陶伯里定理的一致版本及其算子模拟，并给出了它在算子理论中的一个应用。

引用次数: 0

Large gap probabilities of complex and symplectic spherical ensembles with point charges 带点电荷的复辛球系综的大间隙概率

IF 1.6 2区数学 Q1 MATHEMATICS

Journal of Functional Analysis

Pub Date : 2025-11-04 DOI: 10.1016/j.jfa.2025.111260

Sung-Soo Byun , Seongjae Park

We consider the n eigenvalues of the complex and symplectic induced spherical ensembles, which can be realised as two-dimensional determinantal and Pfaffian Coulomb gases on the Riemann sphere under the insertion of point charges. For both cases, we show that the probability that there are no eigenvalues in a spherical cap around a pole has an asymptotic behaviour as

n \to \infty

of the form

\exp (c_{1} n^{2} + c_{2} n \log n + c_{3} n + c_{4} \sqrt{n} + c_{5} \log n + c_{6} + O (n^{- \frac{1}{12}})),

and we determine the coefficients explicitly. Our results provide the second example of precise (up to and including the constant term) large gap asymptotic behaviours for a two-dimensional point process, following a recent breakthrough by Charlier.

我们考虑了复数和辛诱导球系综的n个特征值，它们可以在插入点电荷的黎曼球上实现为二维行列式和普氏库仑气体。对于这两种情况，我们证明了球帽在极点周围不存在特征值的概率具有n→∞形式exp (c1n2+c2nlog (n) +c3n+c4n+c5log （n) +c6+O(n−112)）的渐近行为，并明确地确定了系数。我们的结果提供了二维点过程的精确（直至并包括常数项）大间隙渐近行为的第二个例子，继Charlier最近的突破之后。

引用次数: 0

Free products and rescalings involving non-separable abelian von Neumann algebras 涉及不可分阿贝尔冯诺伊曼代数的自由积和重标

IF 1.6 2区数学 Q1 MATHEMATICS

Journal of Functional Analysis

Pub Date : 2025-11-04 DOI: 10.1016/j.jfa.2025.111264

Ken Dykema, Junchen Zhao

For a self-symmetric tracial von Neumann algebra A, we study rescalings of

A^{⁎ n} ⁎ L F_{r}

for

n \in N

and

r \in (1, \infty]

and use them to obtain an interpolation

F_{s, r} (A)

for all real numbers

s > 0

and

1 - s < r \leq \infty

. We get formulas for their free products, and free products with finite-dimensional or hyperfinite von Neumann algebras. In particular, for any such A, we can compute compressions

{(A^{⁎ n})}^{t}

for

0 < t < 1

, and the Murray-von Neumann fundamental group of

A^{⁎ \infty}

. When A is also non-separable and abelian, this answers two questions in Section 4.3 of [4].

对于自对称跟踪von Neumann代数a，我们研究了n∈n，r∈(1,∞)下a * n * LFr的重标化，并利用它们得到了对所有实数s>；0和1 - s<；r≤∞的插值f，r(a)。我们得到它们的自由积的公式，以及有限维或超有限冯·诺伊曼代数的自由积。特别地，对于任何这样的A，我们可以计算0<；t<；1的压缩（A n）t，以及A∞的Murray-von Neumann基本群。当A也是不可分的且是阿贝尔的，这回答了[4]第4.3节中的两个问题。

引用次数: 0

The Muskat problem with a large slope 马斯喀特问题有很大的坡度

IF 1.6 2区数学 Q1 MATHEMATICS

Journal of Functional Analysis

Pub Date : 2025-11-04 DOI: 10.1016/j.jfa.2025.111257

Stephen Cameron , Ke Chen , Ruilin Hu , Quoc-Hung Nguyen , Yiran Xu

In this paper, we establish local well-posedness results for the Muskat equation in any dimension using modulus of continuity techniques. By introducing a novel quantity

β_{σ} (f_{0}^{'})

which encapsulates local monotonicity and slope, we identify a new class of initial data within

W^{1, \infty} (R^{d})

. This includes scenarios where the product of the maximal and minimal slopes is large, thereby guaranteeing the local existence of a classical solution.

本文利用连续模技术，建立了任意维Muskat方程的局部适定性结果。通过引入一个封装了局部单调性和斜率的新量βσ（f0′），我们在W1，∞(Rd)范围内识别了一类新的初始数据。这包括最大和最小斜率的乘积很大的情况，从而保证经典解的局部存在。

引用次数: 0

Quantum metrics from length functions on quantum groups 量子群上长度函数的量子度量

IF 1.6 2区数学 Q1 MATHEMATICS

Journal of Functional Analysis

Pub Date : 2025-11-04 DOI: 10.1016/j.jfa.2025.111256

Are Austad , David Kyed

We study the quantum metric structure arising from length functions on quantum groups and show that for coamenable quantum groups of Kac type, the quantum metric information is captured by the algebra of central functions. Using this, we provide the first examples of length functions on (genuine) quantum groups which give rise to compact quantum metric spaces.

研究了量子群上由长度函数引起的量子度量结构，并证明了对于可调和的Kac型量子群，量子度量信息是由中心函数代数捕获的。利用这一点，我们提供了（真）量子群上的长度函数的第一个例子，它产生紧致量子度量空间。

引用次数: 0

On the Eldan–Gross inequality 关于Eldan-Gross不等式

IF 1.6 2区数学 Q1 MATHEMATICS

Journal of Functional Analysis

Pub Date : 2025-11-04 DOI: 10.1016/j.jfa.2025.111255

Paata Ivanisvili , Haonan Zhang

A recent discovery of Eldan and Gross states that there exists a universal

C > 0

such that for all Boolean functions

f : {- 1, 1}^{n} \to {- 1, 1}

\int_{{- 1, 1}^{n}} \sqrt{s_{f} (x)} d μ (x) \geq C Var (f) \sqrt{\log (1 + \frac{1}{\sum_{j = 1}^{n} {Inf}_{j} {(f)}^{2}})}

where

s_{f} (x)

is the sensitivity of f at x,

Var (f)

is the variance of f,

{Inf}_{j} (f)

is the influence of f along the j-th variable, and μ is the uniform probability measure. In this note, we give an alternative proof that applies to biased discrete hypercube, and spaces having positive Ricci curvature lower bounds in the sense of Bakry and Émery.

Eldan和Gross最近的一项发现表明，存在一个普适性C>；0，使得对于所有布尔函数f:{−1,1}n→{−1,1},∫{−1,1}nsf(x)dμ(x)≥CVar(f)log(1+1∑j=1nInfj(f)2)，其中sf(x)是f在x处的灵敏度，Var(f)是f的方差，Infj(f)是f沿第j个变量的影响，μ是一致概率测度。在本文中，我们给出了另一种证明，它适用于有偏离散超立方体，以及在Bakry和Émery意义上具有正Ricci曲率下界的空间。

引用次数: 0

首页上一页

下一页尾页

类型

全部化学•材料生命科学医学物理工程技术环境•农林材料科学地球科学法学管理学化学环境科学与生态学计算机科学教育学经济学农林科学人文科学生物学数学物理与天体物理心理学综合性期刊其他工业工程理学历史学农学文学信息工程

数据库

全部 ACS Publications Elsevier ieeexplore Springer The Royal Society of Chemistry Wiley

期刊

Journal of Functional Analysis

全部 Acc. Chem. Res. ACS Applied Bio Materials ACS Appl. Electron. Mater. ACS Appl. Energy Mater. ACS Appl. Mater. Interfaces ACS Appl. Nano Mater. ACS Appl. Polym. Mater. ACS BIOMATER-SCI ENG ACS Catal. ACS Cent. Sci. ACS Chem. Biol. ACS Chemical Health & Safety ACS Chem. Neurosci. ACS Comb. Sci. ACS Earth Space Chem. ACS Energy Lett. ACS Infect. Dis. ACS Macro Lett. ACS Mater. Lett. ACS Med. Chem. Lett. ACS Nano ACS Omega ACS Photonics ACS Sens. ACS Sustainable Chem. Eng. ACS Synth. Biol. Anal. Chem. BIOCHEMISTRY-US Bioconjugate Chem. BIOMACROMOLECULES Chem. Res. Toxicol. Chem. Rev. Chem. Mater. CRYST GROWTH DES ENERG FUEL Environ. Sci. Technol. Environ. Sci. Technol. Lett. Eur. J. Inorg. Chem. IND ENG CHEM RES Inorg. Chem. J. Agric. Food. Chem. J. Chem. Eng. Data J. Chem. Educ. J. Chem. Inf. Model. J. Chem. Theory Comput. J. Med. Chem. J. Nat. Prod. J PROTEOME RES J. Am. Chem. Soc. LANGMUIR MACROMOLECULES Mol. Pharmaceutics Nano Lett. Org. Lett. ORG PROCESS RES DEV ORGANOMETALLICS J. Org. Chem. J. Phys. Chem. J. Phys. Chem. A J. Phys. Chem. B J. Phys. Chem. C J. Phys. Chem. Lett. Analyst Anal. Methods Biomater. Sci. Catal. Sci. Technol. Chem. Commun. Chem. Soc. Rev. CHEM EDUC RES PRACT CRYSTENGCOMM Dalton Trans. Energy Environ. Sci. ENVIRON SCI-NANO ENVIRON SCI-PROC IMP ENVIRON SCI-WAT RES Faraday Discuss. Food Funct. Green Chem. Inorg. Chem. Front. Integr. Biol. J. Anal. At. Spectrom. J. Mater. Chem. A J. Mater. Chem. B J. Mater. Chem. C Lab Chip Mater. Chem. Front. Mater. Horiz. MEDCHEMCOMM Metallomics Mol. Biosyst. Mol. Syst. Des. Eng. Nanoscale Nanoscale Horiz. Nat. Prod. Rep. New J. Chem. Org. Biomol. Chem. Org. Chem. Front. PHOTOCH PHOTOBIO SCI PCCP Polym. Chem.

﹀

微信

客服QQ

扫码关注我们

反馈

Book学术文献互助群
群号：604180095

文献互助智能选刊最新文献互助须知联系我们：info@booksci.cn

Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。