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Geometric conditions for bounded point evaluations in spaces of several complex variables 复数变量空间中有界点求值的几何条件
IF 1.6 3区 数学
Analysis and Mathematical Physics Pub Date : 2025-09-29 DOI: 10.1007/s13324-025-01132-z
Stephen Deterding
{"title":"Geometric conditions for bounded point evaluations in spaces of several complex variables","authors":"Stephen Deterding","doi":"10.1007/s13324-025-01132-z","DOIUrl":"10.1007/s13324-025-01132-z","url":null,"abstract":"<div><p>Let <i>U</i> be a bounded domain in <span>(mathbb C^d)</span> and let <span>(L^p_a(U))</span>, <span>(1 le p &lt; infty )</span>, denote the space of functions that are analytic on <span>(overline{U})</span> and bounded in the <span>(L^p)</span> norm on <i>U</i>. A point <span>(x in overline{U})</span> is said to be a bounded point evaluation for <span>(L^p_a(U))</span> if the linear functional <span>(f rightarrow f(x))</span> is bounded in <span>(L^p_a(U))</span>. In this paper, we provide a purely geometric condition given in terms of the Sobolev <i>q</i>-capacity for a point to be a bounded point evaluation for <span>(L^p_a(U))</span>. This extends results known only for the single variable case to several complex variables.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 5","pages":""},"PeriodicalIF":1.6,"publicationDate":"2025-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145210645","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
Orthogonality of quasi-spectral polynomials of Jacobi and Laguerre type Jacobi和Laguerre型拟谱多项式的正交性
IF 1.6 3区 数学
Analysis and Mathematical Physics Pub Date : 2025-09-22 DOI: 10.1007/s13324-025-01130-1
Vikash Kumar, A. Swaminathan
{"title":"Orthogonality of quasi-spectral polynomials of Jacobi and Laguerre type","authors":"Vikash Kumar,&nbsp;A. Swaminathan","doi":"10.1007/s13324-025-01130-1","DOIUrl":"10.1007/s13324-025-01130-1","url":null,"abstract":"<div><p>In this work, the explicit expressions of coefficients involved in quasi Christoffel polynomials of order one and quasi-Geronimus polynomials of order one are determined for Jacobi polynomials. These coefficients are responsible for establishing the orthogonality of quasi-spectral polynomials of Jacobi polynomials. Additionally, the orthogonality of quasi-Christoffel Laguerre polynomials of order one is derived. In the process of achieving orthogonality, in both cases, one zero is located on the boundary of the support of the measure. This allows us to derive the chain sequence and minimal parameter sequence at the point lying at the end point of the support of the measure. Furthermore, the interlacing properties among the zeros of quasi-spectral orthogonal Jacobi polynomials and Jacobi polynomials are illustrated. Finally, we define the quasi-Christoffel polynomials of order one on the unit circle and analyze the location of their zeros for specific examples, as well as propose the problem in the general setup.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 5","pages":""},"PeriodicalIF":1.6,"publicationDate":"2025-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145110614","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
Fractal Calculus of Variations: A New Framework 分形变分：一个新的框架
IF 1.6 3区 数学
Analysis and Mathematical Physics Pub Date : 2025-09-20 DOI: 10.1007/s13324-025-01128-9
Alireza Khalili Golmankhaneh, Cemil Tunç, Claude Depollier, Ahmed I. Zayed
{"title":"Fractal Calculus of Variations: A New Framework","authors":"Alireza Khalili Golmankhaneh,&nbsp;Cemil Tunç,&nbsp;Claude Depollier,&nbsp;Ahmed I. Zayed","doi":"10.1007/s13324-025-01128-9","DOIUrl":"10.1007/s13324-025-01128-9","url":null,"abstract":"<div><p>In this paper, we give a short summary of fractal calculus. We introduce the concept of fractal variation of calculus and derive the general form of the fractal Euler equation, along with an alternate form. We explore applications of the fractal Euler equation, including the optical fractal path near the event horizon of a black hole and determining the shortest distance in fractal space. Examples and illustrative plots are provided to demonstrate the detailed behavior of these equations and their practical implications.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 5","pages":""},"PeriodicalIF":1.6,"publicationDate":"2025-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145090417","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
Pointwise Multiplier Spaces of Logarithmic Besov Spaces: Duality Principle and Fourier-Analytical Characterization in Endpoint Cases 对数Besov空间的点向乘子空间：端点情况下的对偶原理和傅里叶解析表征
IF 1.6 3区 数学
Analysis and Mathematical Physics Pub Date : 2025-09-20 DOI: 10.1007/s13324-025-01129-8
Ziwei Li, Dachun Yang, Wen Yuan
{"title":"Pointwise Multiplier Spaces of Logarithmic Besov Spaces: Duality Principle and Fourier-Analytical Characterization in Endpoint Cases","authors":"Ziwei Li,&nbsp;Dachun Yang,&nbsp;Wen Yuan","doi":"10.1007/s13324-025-01129-8","DOIUrl":"10.1007/s13324-025-01129-8","url":null,"abstract":"<div><p>Let <span>(s,bin mathbb {R})</span>. This article is devoted to establishing the Fourier-analytical characterization of the pointwise multiplier space <span>(M(B^{s,b}_{p,q}(mathbb {R}^n)))</span> for the logarithmic Besov space <span>(B^{s,b}_{p,q}(mathbb {R}^n))</span> in the endpoint cases, that is, <span>(p,qin {1,infty })</span>. The authors first obtain such a characterization for the cases where <span>(p=1)</span> and <span>(q=infty )</span> and where <span>(p=infty )</span> and <span>(q=1)</span>. Applying this, the authors then establish the duality formula <span>(M(B^{s,b}_{p,q}(mathbb {R}^n))=M(B^{-s,-b}_{p',q'}(mathbb {R}^n)),)</span> where <span>(s,bin mathbb {R})</span>, <span>(p,qin [1,infty ])</span>, and <span>(p')</span> and <span>(q')</span> are respectively the conjugate indices of <i>p</i> and <i>q</i>. This duality principle is further applied to establish the Fourier-analytical characterization of <span>(M(B^{s,b}_{p,q}(mathbb {R}^n)))</span> in the cases where <span>(p=infty =q)</span> and where <span>(p=1=q)</span>.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 5","pages":""},"PeriodicalIF":1.6,"publicationDate":"2025-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145090418","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
Enhanced sensitivity, stability, and dynamic behavior of the Biswas-Milovic equation with Kerr-Law non-linearity 具有Kerr-Law非线性的Biswas-Milovic方程的增强灵敏度，稳定性和动态行为
IF 1.6 3区 数学
Analysis and Mathematical Physics Pub Date : 2025-09-13 DOI: 10.1007/s13324-025-01111-4
Nadia Cheemaa, H. M. A. Siddiqui, Bismah Yousaf, Ahmet Bekir, Mouna Jeridi, Norah Alomayrah
{"title":"Enhanced sensitivity, stability, and dynamic behavior of the Biswas-Milovic equation with Kerr-Law non-linearity","authors":"Nadia Cheemaa,&nbsp;H. M. A. Siddiqui,&nbsp;Bismah Yousaf,&nbsp;Ahmet Bekir,&nbsp;Mouna Jeridi,&nbsp;Norah Alomayrah","doi":"10.1007/s13324-025-01111-4","DOIUrl":"10.1007/s13324-025-01111-4","url":null,"abstract":"<div><p>This work derives novel exact solutions of the Biswas–Milovic nonlinear Schrödinger equation by employing the innovative Extended Modified Auxiliary Equation Mapping Technique, augmented with enhanced sensitivity analysis. The resulting bright, kink, anti-kink, and periodic soliton solutions provide deep insights into the complex dynamics of nonlinear wave propagation. To unravel the intricate behaviors of these solitons, we analyze phase trajectories, density distributions, and streamlines, with a particular focus on their sensitivity to initial conditions. Stability is rigorously evaluated through a Hamiltonian formalism, ensuring both analytical rigor and structural robustness. Collectively, these findings enrich the theoretical understanding of soliton dynamics and open new pathways for practical applications in advanced physical systems.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 5","pages":""},"PeriodicalIF":1.6,"publicationDate":"2025-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145037307","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
Correction: General Geronimus perturbations for mixed multiple orthogonal polynomials 修正：混合多重正交多项式的一般格罗尼莫斯摄动
IF 1.6 3区 数学
Analysis and Mathematical Physics Pub Date : 2025-09-10 DOI: 10.1007/s13324-025-01126-x
Manuel Mañas, Miguel Rojas
{"title":"Correction: General Geronimus perturbations for mixed multiple orthogonal polynomials","authors":"Manuel Mañas,&nbsp;Miguel Rojas","doi":"10.1007/s13324-025-01126-x","DOIUrl":"10.1007/s13324-025-01126-x","url":null,"abstract":"","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 5","pages":""},"PeriodicalIF":1.6,"publicationDate":"2025-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13324-025-01126-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145021705","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Explicit correspondences between gradient trees in (mathbb {R}) and holomorphic disks in (T^{*}mathbb {R}) 中的全纯磁盘与(mathbb {R})中梯度树的显式对应关系 (T^{*}mathbb {R})
IF 1.6 3区 数学
Analysis and Mathematical Physics Pub Date : 2025-09-10 DOI: 10.1007/s13324-025-01127-w
Hidemasa Suzuki
{"title":"Explicit correspondences between gradient trees in (mathbb {R}) and holomorphic disks in (T^{*}mathbb {R})","authors":"Hidemasa Suzuki","doi":"10.1007/s13324-025-01127-w","DOIUrl":"10.1007/s13324-025-01127-w","url":null,"abstract":"<div><p>Fukaya and Oh studied the correspondence between pseudoholomorphic disks in <span>(T^{*}M)</span> which are bounded by Lagrangian sections <span>({L_{i}^{epsilon }})</span> and gradient trees in <i>M</i> which consist of gradient curves of <span>({f_{i}-f_{j}})</span>. Here, <span>(L_{i}^{epsilon })</span> is defined by <span>(L_{i}^{epsilon }=)</span> graph<span>((epsilon df_{i}))</span>. They constructed approximate pseudoholomorphic disks in the case <span>(epsilon &gt;0)</span> is sufficiently small. When <span>(M=mathbb {R})</span> and Lagrangian sections are affine, pseudoholomorphic disks <span>(w_{epsilon })</span> can be constructed explicitly. In this paper, we show that pseudoholomorphic disks <span>(w_{epsilon })</span> converges to the gradient tree in the limit <span>(epsilon rightarrow +0)</span> when the number of Lagrangian sections is three and four.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 5","pages":""},"PeriodicalIF":1.6,"publicationDate":"2025-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145021706","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
Equilibrium problems with trifunctions and applications to hemivariational inequalities 具有三重函数的平衡问题及其在半变不等式中的应用
IF 1.6 3区 数学
Analysis and Mathematical Physics Pub Date : 2025-09-03 DOI: 10.1007/s13324-025-01123-0
Sultana Ben Aadi, Khalid Akhlil, Daniela Inoan
{"title":"Equilibrium problems with trifunctions and applications to hemivariational inequalities","authors":"Sultana Ben Aadi,&nbsp;Khalid Akhlil,&nbsp;Daniela Inoan","doi":"10.1007/s13324-025-01123-0","DOIUrl":"10.1007/s13324-025-01123-0","url":null,"abstract":"<div><p>In this paper, we define generalized monotonicity concepts related to equilibrium problems generated by trifunctions. We then study the existence of solutions to mixed equilibrium problems described as the sum of a maximal monotone trifunction and a pseudomonotone trifunction in Brézis sense. The main tools for this study are a Thikonov regularization procedure with respect to the generalized duality mapping and recession analysis adapted to trifunctions. An application consists in an existence result for a noncoercive hemivariational inequality.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 5","pages":""},"PeriodicalIF":1.6,"publicationDate":"2025-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144934500","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
The right-sided quaternionic free metaplectic transformation and associated uncertainty principles 右四元数自由变形及相关的测不准原理
IF 1.6 3区 数学
Analysis and Mathematical Physics Pub Date : 2025-09-03 DOI: 10.1007/s13324-025-01125-y
Khaled Hleili, Youssef El Haoui
{"title":"The right-sided quaternionic free metaplectic transformation and associated uncertainty principles","authors":"Khaled Hleili,&nbsp;Youssef El Haoui","doi":"10.1007/s13324-025-01125-y","DOIUrl":"10.1007/s13324-025-01125-y","url":null,"abstract":"<div><p>The aim of this paper is to investigate the right-sided quaternionic free metaplectic transformation (QFMT) and its associated uncertainty principles (UPs) for <span>(mathbb {R}^{2d})</span>-dimensional quaternionic-valued signals. First, we establish the fundamental mathematical properties of the QFMT, including partial derivatives, the inversion formula, Parseval’s theorem, and the Hausdorff–Young inequality. Next, we establish various UPs within this framework, such as the Rènyi and Shannon entropy UPs and Donoho–Stark’s UP in terms of concentration. Finally, we derive <span>(L^a)</span>-bandlimited variant of the Donoho–Stark UP in the QFMT domain.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 5","pages":""},"PeriodicalIF":1.6,"publicationDate":"2025-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144934578","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
Variationality of Conformal Geodesics in dimension 3 三维共形测地线的变分性
IF 1.6 3区 数学
Analysis and Mathematical Physics Pub Date : 2025-09-02 DOI: 10.1007/s13324-025-01124-z
Boris Kruglikov, Vladimir S. Matveev, Wijnand Steneker
{"title":"Variationality of Conformal Geodesics in dimension 3","authors":"Boris Kruglikov,&nbsp;Vladimir S. Matveev,&nbsp;Wijnand Steneker","doi":"10.1007/s13324-025-01124-z","DOIUrl":"10.1007/s13324-025-01124-z","url":null,"abstract":"<div><p>Conformal geodesics form an invariantly defined family of unparametrized curves in a conformal manifold generalizing unparametrized geodesics/paths of projective connections. The equation describing them is of third order, and it was an open problem whether they are given by an Euler–Lagrange equation. In dimension 3 (the simplest, but most important from the viewpoint of physical applications) we demonstrate that the equation for unparametrized conformal geodesics is variational.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 5","pages":""},"PeriodicalIF":1.6,"publicationDate":"2025-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13324-025-01124-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144929265","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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