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On the Hörmander's estimate 根据Hörmander的估计
IF 1.2 3区 数学
Journal of Mathematical Analysis and Applications Pub Date : 2025-04-02 DOI: 10.1016/j.jmaa.2025.129549
Bingyuan Liu
{"title":"On the Hörmander's estimate","authors":"Bingyuan Liu","doi":"10.1016/j.jmaa.2025.129549","DOIUrl":"10.1016/j.jmaa.2025.129549","url":null,"abstract":"<div><div>The motivation of the note is to obtain a Hörmander-type <span><math><msup><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span> estimate for <span><math><mover><mrow><mo>∂</mo></mrow><mrow><mo>¯</mo></mrow></mover></math></span> 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.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"550 2","pages":"Article 129549"},"PeriodicalIF":1.2,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143792088","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Second-order regular variation and second-order approximation of Hawkes processes Hawkes过程的二阶正则变分和二阶近似
IF 1.2 3区 数学
Journal of Mathematical Analysis and Applications Pub Date : 2025-04-02 DOI: 10.1016/j.jmaa.2025.129546
Ulrich Horst , Wei Xu
{"title":"Second-order regular variation and second-order approximation of Hawkes processes","authors":"Ulrich Horst ,&nbsp;Wei Xu","doi":"10.1016/j.jmaa.2025.129546","DOIUrl":"10.1016/j.jmaa.2025.129546","url":null,"abstract":"<div><div>This paper provides and extends second-order versions of several fundamental theorems on first-order regularly varying functions such as Karamata's theorem/representation and Tauberian's theorem. Our results are used to establish second-order approximations for the mean and variance of Hawkes processes with general kernels. Our approximations provide novel insights into the asymptotic behavior of Hawkes processes. They are also of key importance when establishing functional limit theorems for Hawkes processes.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"550 2","pages":"Article 129546"},"PeriodicalIF":1.2,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143807743","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Non-commutative Bézout domains and pseudo MV-algebras 非交换bsamzout定义域与伪mv代数
IF 1.2 3区 数学
Journal of Mathematical Analysis and Applications Pub Date : 2025-04-02 DOI: 10.1016/j.jmaa.2025.129545
Anatolij Dvurečenskij , László Fuchs , Omid Zahiri
{"title":"Non-commutative Bézout domains and pseudo MV-algebras","authors":"Anatolij Dvurečenskij ,&nbsp;László Fuchs ,&nbsp;Omid Zahiri","doi":"10.1016/j.jmaa.2025.129545","DOIUrl":"10.1016/j.jmaa.2025.129545","url":null,"abstract":"<div><div>Motivated by the successful applications of Bézout domains in the theory of MV-algebras, we develop a generalization of Bézout domains to the non-commutative case for applications to pseudo MV-algebras. The well-known Kaplansky-Jaffard-Ohm theorem is generalized by constructing (not necessarily commutative) domains of Bézout type whose groups of divisibility are certain lattice-ordered (non-Abelian) groups. Some related ring properties (like Ore conditions) are also studied, and their connections to pseudo MV-algebras are established. A few applications are given to illustrate how our results can be applied to certain pseudo MV-algebras while they are treated as subsets of unital <em>ℓ</em>-groups.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"549 2","pages":"Article 129545"},"PeriodicalIF":1.2,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143768570","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Fragments of orthogonally additive operators and the nonlinear Dodds-Fremlin's theorem 正交加性算子的片段与非线性dods - fremlin定理
IF 1.2 3区 数学
Journal of Mathematical Analysis and Applications Pub Date : 2025-04-02 DOI: 10.1016/j.jmaa.2025.129551
Karimbergen Kudaybergenov , Marat Pliev , Fedor Sukochev
{"title":"Fragments of orthogonally additive operators and the nonlinear Dodds-Fremlin's theorem","authors":"Karimbergen Kudaybergenov ,&nbsp;Marat Pliev ,&nbsp;Fedor Sukochev","doi":"10.1016/j.jmaa.2025.129551","DOIUrl":"10.1016/j.jmaa.2025.129551","url":null,"abstract":"<div><div>In the first part of the paper we describe the structure of the Boolean algebra <span><math><msub><mrow><mi>F</mi></mrow><mrow><mi>T</mi></mrow></msub></math></span> of all fragments of a positive orthogonally additive operator <span><math><mi>T</mi><mo>:</mo><mi>E</mi><mo>→</mo><mi>F</mi></math></span>, generalizing classical results of Aliprantis, Burkinshaw, de Pagter to the setting of orthogonally additive (in general nonlinear) operators on Banach lattices. In the second part of the article we present the nonlinear version of the well known Dodds-Fremlin's theorem.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"550 2","pages":"Article 129551"},"PeriodicalIF":1.2,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143807637","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Bi-quasi-shadowing for semi-partially hyperbolic families 半部分双曲族的双拟阴影
IF 1.2 3区 数学
Journal of Mathematical Analysis and Applications Pub Date : 2025-04-02 DOI: 10.1016/j.jmaa.2025.129550
Lin Chen , Yunhua Zhou
{"title":"Bi-quasi-shadowing for semi-partially hyperbolic families","authors":"Lin Chen ,&nbsp;Yunhua Zhou","doi":"10.1016/j.jmaa.2025.129550","DOIUrl":"10.1016/j.jmaa.2025.129550","url":null,"abstract":"<div><div>In this paper, we introduce the concept of a semi-partially hyperbolic family and prove that semi-partial hyperbolicity implies partial hyperbolicity under certain conditions. We also establish that a semi-partially hyperbolic family possesses the bi-quasi-shadowing property.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"549 2","pages":"Article 129550"},"PeriodicalIF":1.2,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143768569","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A fast and efficient numerical method for computing the stress concentration between closely located stiff inclusions of general shapes 一种快速有效的计算一般形状紧密分布的刚性夹杂之间应力集中的数值方法
IF 1.2 3区 数学
Journal of Mathematical Analysis and Applications Pub Date : 2025-04-02 DOI: 10.1016/j.jmaa.2025.129542
Xiaofei Li, Shengqi Lin, Haojie Wang
{"title":"A fast and efficient numerical method for computing the stress concentration between closely located stiff inclusions of general shapes","authors":"Xiaofei Li,&nbsp;Shengqi Lin,&nbsp;Haojie Wang","doi":"10.1016/j.jmaa.2025.129542","DOIUrl":"10.1016/j.jmaa.2025.129542","url":null,"abstract":"<div><div>When two stiff inclusions are closely located, the gradient of the solution to the Lamé system, in other words the stress, may become arbitrarily large as the distance between two inclusions tends to zero. To compute the gradient of the solution in the narrow region, extremely fine meshes are required. It is a challenging problem to numerically compute the stress near the narrow region between two inclusions of general shapes as their distance goes to zero. A recent study <span><span>[15]</span></span> has shown that the major singularity of the gradient can be extracted in an explicit way for two general shaped inclusions. Thus the complexity of the computation can be greatly reduced by removing the singular term and it suffices to compute the residual term only using regular meshes. The goal of this paper is to numerically compute the stress concentration in a fast and efficient way. In this paper, we compute the value of the stress concentration factor, which is the normalized magnitude of the stress concentration, for general shaped domain as the distance between two inclusions tends to zero. We also compute the solution for two closely located inclusions of general shapes and show the convergence of the solution. Only regular meshes are used in our numerical computation and the results clearly show that the characterization of the singular term method can be efficiently used for computation of the stress concentration between two closely located inclusions of general shapes.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"550 2","pages":"Article 129542"},"PeriodicalIF":1.2,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143799663","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Weak-* and completely isometric structure of noncommutative function algebras 非交换函数代数的弱*和完全等距结构
IF 1.2 3区 数学
Journal of Mathematical Analysis and Applications Pub Date : 2025-04-02 DOI: 10.1016/j.jmaa.2025.129552
Jeet Sampat, Orr Moshe Shalit
{"title":"Weak-* and completely isometric structure of noncommutative function algebras","authors":"Jeet Sampat,&nbsp;Orr Moshe Shalit","doi":"10.1016/j.jmaa.2025.129552","DOIUrl":"10.1016/j.jmaa.2025.129552","url":null,"abstract":"<div><div>We study operator algebraic and function theoretic aspects of algebras of bounded nc functions on subvarieties of the nc domain determined by all levels of the unit ball of an operator space (nc operator balls). Our main result is the following classification theorem: under very mild assumptions on the varieties, two such algebras <span><math><msup><mrow><mi>H</mi></mrow><mrow><mo>∞</mo></mrow></msup><mo>(</mo><mi>V</mi><mo>)</mo></math></span> and <span><math><msup><mrow><mi>H</mi></mrow><mrow><mo>∞</mo></mrow></msup><mo>(</mo><mi>W</mi><mo>)</mo></math></span> are completely isometrically and weak-* isomorphic if and only if there is a nc biholomorphism between the varieties. For matrix spanning homogeneous varieties in injective operator balls, we further sharpen this equivalence, showing that there exists a linear isomorphism between the respective balls that maps one variety onto the other; in general, we show, the homogeneity condition cannot be dropped. We highlight some difficulties and open problems, contrasting with the well studied case of row ball.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"550 1","pages":"Article 129552"},"PeriodicalIF":1.2,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143791797","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Global solutions to the higher-dimensional chemotaxis-consumption system 高维化学趋同消费系统的全球解决方案
IF 1.2 3区 数学
Journal of Mathematical Analysis and Applications Pub Date : 2025-04-01 DOI: 10.1016/j.jmaa.2025.129540
Wenping Du
{"title":"Global solutions to the higher-dimensional chemotaxis-consumption system","authors":"Wenping Du","doi":"10.1016/j.jmaa.2025.129540","DOIUrl":"10.1016/j.jmaa.2025.129540","url":null,"abstract":"<div><div>This paper is devoted to a parabolic-parabolic chemotaxis-consumption PDE's system with singular sensitivity under homogeneous Neumann boundary conditions in a smoothly bounded domain <span><math><mi>Ω</mi><mo>⊆</mo><msup><mrow><mi>R</mi></mrow><mrow><mi>n</mi></mrow></msup></math></span>, <span><math><mi>n</mi><mo>≥</mo><mn>2</mn></math></span>. We consider a growth term of logistic type in the equation of “<em>u</em>” in the form <span><math><msup><mrow><mi>u</mi></mrow><mrow><mi>α</mi></mrow></msup><mo>(</mo><mn>1</mn><mo>−</mo><msub><mrow><mo>∫</mo></mrow><mrow><mi>Ω</mi></mrow></msub><msup><mrow><mi>u</mi></mrow><mrow><mi>β</mi></mrow></msup><mo>)</mo></math></span>. We provide conditions to ensure global existence of solutions. As compared to previous mathematical studies, the novelty (also is difficulty) of this problem arises from the combination of the singular sensitivity and the nonlocal nonlinear reaction.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"550 1","pages":"Article 129540"},"PeriodicalIF":1.2,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143760678","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Some rigidity results on non-compact almost Ricci solitons 非紧化几乎Ricci孤子的一些刚性结果
IF 1.2 3区 数学
Journal of Mathematical Analysis and Applications Pub Date : 2025-04-01 DOI: 10.1016/j.jmaa.2025.129543
Rahul Poddar , Ramesh Sharma , Antonio W. Cunha
{"title":"Some rigidity results on non-compact almost Ricci solitons","authors":"Rahul Poddar ,&nbsp;Ramesh Sharma ,&nbsp;Antonio W. Cunha","doi":"10.1016/j.jmaa.2025.129543","DOIUrl":"10.1016/j.jmaa.2025.129543","url":null,"abstract":"<div><div>We extend well-known results on the rigidity of compact almost Ricci solitons <span><math><mo>(</mo><mi>M</mi><mo>,</mo><mi>g</mi><mo>,</mo><mi>V</mi><mo>,</mo><mi>λ</mi><mo>)</mo></math></span> to the complete case by imposing certain conditions on the potential vector field <em>V</em>, regularity constraints on the dilation function <em>λ</em>, and curvature restrictions on <em>M</em>. We also provide another proof with a stronger conclusion of a rigidity result of Costa-Filho for a closed almost Ricci soliton.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"550 1","pages":"Article 129543"},"PeriodicalIF":1.2,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143799411","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Topological entropy dimension on subsets for nonautonomous dynamical systems 非自治动力系统子集上的拓扑熵维
IF 1.2 3区 数学
Journal of Mathematical Analysis and Applications Pub Date : 2025-04-01 DOI: 10.1016/j.jmaa.2025.129539
Chang-Bing Li
{"title":"Topological entropy dimension on subsets for nonautonomous dynamical systems","authors":"Chang-Bing Li","doi":"10.1016/j.jmaa.2025.129539","DOIUrl":"10.1016/j.jmaa.2025.129539","url":null,"abstract":"<div><div>The topological entropy dimension is mainly used to distinguish the zero topological entropy systems. Two types of topological entropy dimensions, the classical entropy dimension and the Pesin entropy dimension, are investigated for nonautonomous dynamical systems. Several properties of the entropy dimensions are discussed, such as the power rule, monotonicity and equiconjugacy et al. The Pesin entropy dimension is also proved to be invariant up to equiconjugacy. The relationship between these two types of entropy dimension is also discussed in more detail. It's proved that these two entropy dimensions coincide and are equal to one provided that the classical topological entropy is positive and finite.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"550 2","pages":"Article 129539"},"PeriodicalIF":1.2,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143815001","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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