Analysis and Mathematical Physics最新文献_第10页

Bounded connected components of polynomial lemniscates 多项式∞的有界连通分量

IF 1.4 3区数学

Analysis and Mathematical Physics Pub Date : 2024-09-30 DOI: 10.1007/s13324-024-00969-0

Adam Kraus, Brian Simanek

引用次数: 0

Cesàro operators associated with Borel measures acting on weighted spaces of holomorphic functions with sup-norms 与作用于具有超矩形的全形函数加权空间的博雷尔量相关的塞萨罗算子

IF 1.4 3区数学

Analysis and Mathematical Physics Pub Date : 2024-09-28 DOI: 10.1007/s13324-024-00968-1

María J. Beltrán-Meneu, José Bonet, Enrique Jordá

{"title":"Cesàro operators associated with Borel measures acting on weighted spaces of holomorphic functions with sup-norms","authors":"María J. Beltrán-Meneu, José Bonet, Enrique Jordá","doi":"10.1007/s13324-024-00968-1","DOIUrl":"10.1007/s13324-024-00968-1","url":null,"abstract":"<div>Let (mu ) be a positive finite Borel measure on [0, 1). Cesàro-type operators (C_{mu }) when acting on weighted spaces of holomorphic functions are investigated. In the case of bounded holomorphic functions on the unit disc we prove that (C_mu ) is continuous if and only if it is compact. In the case of weighted Banach spaces of holomorphic function defined by general weights, we give sufficient and necessary conditions for the continuity and compactness. For standard weights, we characterize the continuity and compactness on classical growth Banach spaces of holomorphic functions. We also study the point spectrum and the spectrum of (C_mu ) on the space of holomorphic functions on the disc, on the space of bounded holomorphic functions on the disc, and on the classical growth Banach spaces of holomorphic functions. All characterizations are given in terms of the sequence of moments ((mu _n)_{nin {mathbb {N}}_0}). The continuity, compactness and spectrum of (C_mu ) acting on Fréchet and (LB) Korenblum type spaces are also considered .</div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"14 5","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13324-024-00968-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142414805","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

Spectral properties of the gradient operator with nonconstant coefficients 具有非恒定系数的梯度算子的谱特性

IF 1.4 3区数学

Analysis and Mathematical Physics Pub Date : 2024-09-18 DOI: 10.1007/s13324-024-00966-3

F. Colombo, F. Mantovani, P. Schlosser

{"title":"Spectral properties of the gradient operator with nonconstant coefficients","authors":"F. Colombo, F. Mantovani, P. Schlosser","doi":"10.1007/s13324-024-00966-3","DOIUrl":"10.1007/s13324-024-00966-3","url":null,"abstract":"<div>In mathematical physics, the gradient operator with nonconstant coefficients encompasses various models, including Fourier’s law for heat propagation and Fick’s first law, that relates the diffusive flux to the gradient of the concentration. Specifically, consider (nge 3) orthogonal unit vectors (e_1,ldots ,e_nin {mathbb {R}}^n), and let (Omega subseteq {mathbb {R}}^n) be some (in general unbounded) Lipschitz domain. This paper investigates the spectral properties of the gradient operator (T=sum _{i=1}^ne_ia_i(x)frac{partial }{partial x_i}) with nonconstant positive coefficients (a_i:{overline{Omega }}rightarrow (0,infty )). Under certain regularity and growth conditions on the (a_i), we identify bisectorial or strip-type regions that belong to the S-resolvent set of T. Moreover, we obtain suitable estimates of the associated resolvent operator. Our focus lies in the spectral theory on the S-spectrum, designed to study the operators acting in Clifford modules V over the Clifford algebra ({mathbb {R}}_n), with vector operators being a specific crucial subclass. The spectral properties related to the S-spectrum of T are linked to the inversion of the operator (Q_s(T):=T^2-2s_0T+|s|^2), where (sin {mathbb {R}}^{n+1}) is a paravector, i.e., it is of the form (s=s_0+s_1e_1+cdots +s_ne_n). This spectral problem is substantially different from the complex one, since it allows to associate general boundary conditions to (Q_s(T)), i.e., to the squared operator (T^2).</div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"14 5","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13324-024-00966-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142263837","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

A note on closed quasi-Einstein manifolds 关于封闭的准爱因斯坦流形的说明

IF 1.4 3区数学

Analysis and Mathematical Physics Pub Date : 2024-09-17 DOI: 10.1007/s13324-024-00967-2

Wagner Oliveira Costa-Filho

引用次数: 0

On odd univalent harmonic mappings 关于奇数单值谐波映射

IF 1.4 3区数学

Analysis and Mathematical Physics Pub Date : 2024-09-04 DOI: 10.1007/s13324-024-00964-5

Kapil Jaglan, Anbareeswaran Sairam Kaliraj

引用次数: 0

Feynman formulas for qp- and pq-quantization of some Vladimirov type time-dependent Hamiltonians on finite adeles 有限阿德尔上某些弗拉基米洛夫型时变哈密顿的 qp 和 pq 量化的费曼公式

IF 1.4 3区数学

Analysis and Mathematical Physics Pub Date : 2024-08-27 DOI: 10.1007/s13324-024-00965-4

Roman Urban

引用次数: 0

Two-component integrable extension of general heavenly equation 一般天体方程的两分量可积分扩展

IF 1.4 3区数学

Analysis and Mathematical Physics Pub Date : 2024-08-20 DOI: 10.1007/s13324-024-00961-8

Wojciech Kryński, Artur Sergyeyev

引用次数: 0

Monotonicity patterns and functional inequalities for modified Lommel functions of the first kind 修正的第一类洛梅尔函数的单调性模式和函数不等式

IF 1.4 3区数学

Analysis and Mathematical Physics Pub Date : 2024-08-17 DOI: 10.1007/s13324-024-00962-7

H. M. Zayed, K. Mehrez, J. Morais

引用次数: 0

Existence and multiplicity of solutions for the Schrödinger–Poisson equation with prescribed mass 具有规定质量的薛定谔-泊松方程的解的存在性和多重性

IF 1.4 3区数学

Analysis and Mathematical Physics Pub Date : 2024-08-16 DOI: 10.1007/s13324-024-00963-6

Xueqin Peng

{"title":"Existence and multiplicity of solutions for the Schrödinger–Poisson equation with prescribed mass","authors":"Xueqin Peng","doi":"10.1007/s13324-024-00963-6","DOIUrl":"10.1007/s13324-024-00963-6","url":null,"abstract":"<div>In this paper, we study the existence and multiplicity for the following Schrödinger–Poisson equation <div><div>$$begin{aligned} {left{ begin{array}{ll} -Delta u+lambda u-kappa (|x|^{-1}*|u|^2)u=f(u),&{}text {in}~~{mathbb {R}}^{3}, u>0,~displaystyle int _{{mathbb {R}}^{3}}u^2dx=a^2, end{array}right. } end{aligned}$$</div></div>where (a>0) is a prescribed mass, (kappa in {mathbb {R}}setminus {0}) and (lambda in {mathbb {R}}) is an undetermined parameter which appears as a Lagrange multiplier. Our results are threefold: (i) for the case (kappa <0), we obtain the normalized ground state solution for (a>0) small by working on the Pohozaev manifold, where f satisfies the (L^2)-supercritical and Sobolev subcritical conditions, and the behavior of the normalized ground state energy (c_a) is also obtained; (ii) we prove that the above equation possesses infinitely many radial solutions whose energy converges to infinity; (iii) for (kappa >0) and (f(u)=|u|^{4}u), we revisit the Brézis–Nirenberg problem with a nonlocal perturbation and obtain infinitely many radial solutions with negative energy. Our results implement some existing results about the Schrödinger–Poisson equation in the (L^2)-constraint setting.</div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"14 5","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142222487","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

Analysing Milne-type inequalities by using tempered fractional integrals 利用回火分式积分分析米尔恩型不等式

IF 1.4 3区数学

Analysis and Mathematical Physics Pub Date : 2024-08-14 DOI: 10.1007/s13324-024-00958-3

Wali Haider, Hüseyin Budak, Asia Shehzadi, Fatih Hezenci, Haibo Chen

引用次数: 0