发布求助
文献互助 智能选刊 最新文献

Analysis and Mathematical Physics最新文献

筛选
英文 中文
Simple proofs of certain results on generalized Fekete-Szegő functional in the class (mathcal {S}) 类中广义fekete - szegov泛函某些结果的简单证明 (mathcal {S})
IF 1.6 3区 数学
Analysis and Mathematical Physics Pub Date : 2025-07-10 DOI: 10.1007/s13324-025-01103-4
Teodor Bulboacă, Milutin Obradović, Nikola Tuneski
{"title":"Simple proofs of certain results on generalized Fekete-Szegő functional in the class (mathcal {S})","authors":"Teodor Bulboacă,&nbsp;Milutin Obradović,&nbsp;Nikola Tuneski","doi":"10.1007/s13324-025-01103-4","DOIUrl":"10.1007/s13324-025-01103-4","url":null,"abstract":"<div><p>In this paper we give simple proofs for the main results concerning generalized Fekete-Szegő functional of type <span>(left| a_{3}(f)-lambda a_{2}(f)^{2}right| -mu |a_{2}(f)|)</span>, where <span>(lambda in mathbb {C})</span>, <span>(mu &gt;0)</span> and <span>(a_{n}(f))</span> is <i>n</i>-th coefficient of the power series expansion of <span>(fin mathcal {S})</span>. In addition, we studied this functional separately for the class <span>(mathcal {K})</span> of convex functions and we emphasize that all the results of the paper are sharp (i.e. the best possible). The advantages of the present study are that the techniques used in the proofs are more easier and use known results regarding the univalent functions, and those that it give the best possible results not only for the entire class of univalent normalized functions <span>(mathcal {S})</span> but also for its subclass of convex functions <span>(mathcal {K})</span>.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 4","pages":""},"PeriodicalIF":1.6,"publicationDate":"2025-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13324-025-01103-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145163450","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
The Persson–Stepanov theorem revisited 珀尔森-斯特帕诺夫定理
IF 1.6 3区 数学
Analysis and Mathematical Physics Pub Date : 2025-07-09 DOI: 10.1007/s13324-025-01102-5
Amiran Gogatishvili, Luboš Pick, Hana Turčinová, Tuğçe Ünver
{"title":"The Persson–Stepanov theorem revisited","authors":"Amiran Gogatishvili,&nbsp;Luboš Pick,&nbsp;Hana Turčinová,&nbsp;Tuğçe Ünver","doi":"10.1007/s13324-025-01102-5","DOIUrl":"10.1007/s13324-025-01102-5","url":null,"abstract":"<div><p>We develop a new proof of the result of L.-E. Persson and V.D. Stepanov [24, Theorems 1 and 3], which provides a characterization of a Hardy integral inequality involving two weights, and which can be applied to an effective treatment of the geometric mean operator. Our approach enables us to extend their result to the full range of parameters, in particular involving the critical case <span>(p=1)</span>, which was excluded in the original work. Our proof avoids all duality steps and discretization techniques and uses solely elementary means.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 4","pages":""},"PeriodicalIF":1.6,"publicationDate":"2025-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13324-025-01102-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145163859","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
Old and new on strongly subadditive/superadditive functions 强次加性/超加性函数的新旧
IF 1.6 3区 数学
Analysis and Mathematical Physics Pub Date : 2025-07-06 DOI: 10.1007/s13324-025-01095-1
Constantin P. Niculescu
{"title":"Old and new on strongly subadditive/superadditive functions","authors":"Constantin P. Niculescu","doi":"10.1007/s13324-025-01095-1","DOIUrl":"10.1007/s13324-025-01095-1","url":null,"abstract":"<div><p>In this paper we provide insight into the classes of strongly subadditive/superadditive functions by highlighting numerous new examples and new results.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 4","pages":""},"PeriodicalIF":1.6,"publicationDate":"2025-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13324-025-01095-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145162792","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
Weighted inequalities involving two Hardy operators 涉及两个Hardy算子的加权不等式
IF 1.6 3区 数学
Analysis and Mathematical Physics Pub Date : 2025-07-02 DOI: 10.1007/s13324-025-01101-6
Amiran Gogatishvili, Tuǧçe Ünver
{"title":"Weighted inequalities involving two Hardy operators","authors":"Amiran Gogatishvili,&nbsp;Tuǧçe Ünver","doi":"10.1007/s13324-025-01101-6","DOIUrl":"10.1007/s13324-025-01101-6","url":null,"abstract":"<div><p>We find necessary and sufficient conditions on weights <span>(u_1, u_2, v_1, v_2)</span>, i.e. measurable, positive, and finite, a.e. on (<i>a</i>, <i>b</i>), for which there exists a positive constant <i>C</i> such that for given <span>(0&lt; p_1,q_1,p_2,q_2 &lt;infty )</span> the inequality </p><div><div><span>$$begin{aligned} begin{aligned}&amp;bigg (int _a^b bigg (int _a^t f(s)^{p_2} v_2(s)^{p_2} dsbigg )^{frac{q_2}{p_2}} u_2(t)^{q_2} dt bigg )^{frac{1}{q_2}}&amp;quad le C bigg (int _a^b bigg (int _a^t f(s)^{p_1} v_1(s)^{p_1} dsbigg )^{frac{q_1}{p_1}} u_1(t)^{q_1} dt bigg )^{frac{1}{q_1}} end{aligned} end{aligned}$$</span></div></div><p>holds for every non-negative, measurable function <i>f</i> on (<i>a</i>, <i>b</i>), where <span>(0 le a &lt;b le infty )</span>. The proof is based on a recently developed discretization method that enables us to overcome the restrictions of the earlier results.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 4","pages":""},"PeriodicalIF":1.6,"publicationDate":"2025-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13324-025-01101-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145161284","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
Tensor tomography for a set of generalized V-line transforms in (mathbb {R}^2) 广义v线变换的张量层析成像 (mathbb {R}^2)
IF 1.6 3区 数学
Analysis and Mathematical Physics Pub Date : 2025-07-01 DOI: 10.1007/s13324-025-01088-0
Rahul Bhardwaj
{"title":"Tensor tomography for a set of generalized V-line transforms in (mathbb {R}^2)","authors":"Rahul Bhardwaj","doi":"10.1007/s13324-025-01088-0","DOIUrl":"10.1007/s13324-025-01088-0","url":null,"abstract":"<div><p>We study a set of generalized V-line transforms, namely longitudinal, mixed, and transverse V-line transforms, of a symmetric <i>m</i>-tensor field in <span>(mathbb {R}^2)</span>. The goal of this article is to recover a symmetric <i>m</i>-tensor field <span>({textbf {{f}}})</span> supported in a disk <span>(mathbb {D}_R)</span>, with radius <i>R</i> and centered at the origin, by a combination of the aforementioned generalized V-line transforms, using two different techniques for different sets of data.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 4","pages":""},"PeriodicalIF":1.6,"publicationDate":"2025-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145160511","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
Hankel determinants for non-bazilevic functions 非巴齐勒函数的汉克尔行列式
IF 1.6 3区 数学
Analysis and Mathematical Physics Pub Date : 2025-06-30 DOI: 10.1007/s13324-025-01099-x
Paweł Zaprawa, Mohsan Raza, Muniba Amin
{"title":"Hankel determinants for non-bazilevic functions","authors":"Paweł Zaprawa,&nbsp;Mohsan Raza,&nbsp;Muniba Amin","doi":"10.1007/s13324-025-01099-x","DOIUrl":"10.1007/s13324-025-01099-x","url":null,"abstract":"<div><p>Sharp bounds are given for second Hankel determinant for the class of non-Bazilevic functions. We also give sharp bounds for the second Hankel determinant for the inverse and logarithmic inverse coefficients for this class of functions. Furthermore, non sharp bound for logarithmic coefficients is provided. Our results provide solution to long standing open problems for this class of functions.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 4","pages":""},"PeriodicalIF":1.6,"publicationDate":"2025-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145171647","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 Toeplitz Determinant for Starlike Mappings in One and Higher Dimensions 一维及高维星形映射的二阶Toeplitz行列式
IF 1.6 3区 数学
Analysis and Mathematical Physics Pub Date : 2025-06-29 DOI: 10.1007/s13324-025-01098-y
Surya Giri
{"title":"Second-Order Toeplitz Determinant for Starlike Mappings in One and Higher Dimensions","authors":"Surya Giri","doi":"10.1007/s13324-025-01098-y","DOIUrl":"10.1007/s13324-025-01098-y","url":null,"abstract":"<div><p>The present work establishes sharp estimates for second-order Toeplitz determinant, given by <span>(vert a_3^2 -a_4^2vert )</span>, for the Ma-Minda class of starlike functions. These results are further extended to higher dimensions by deriving sharp bounds for a subclass of holomorphic mappings defined on the unit ball in a complex Banach space and the unit polydisc in <span>(mathbb {C}^n)</span>, leading to corresponding estimates for second-order Toeplitz determinants for various subclasses of univalent mappings in several complex variables.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 4","pages":""},"PeriodicalIF":1.6,"publicationDate":"2025-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145171470","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
On Fuglede’s problem on pseudo-balayage for signed Radon measures of infinite energy 无限能量有符号氡测度的Fuglede伪平衡问题
IF 1.6 3区 数学
Analysis and Mathematical Physics Pub Date : 2025-06-28 DOI: 10.1007/s13324-025-01096-0
Natalia Zorii
{"title":"On Fuglede’s problem on pseudo-balayage for signed Radon measures of infinite energy","authors":"Natalia Zorii","doi":"10.1007/s13324-025-01096-0","DOIUrl":"10.1007/s13324-025-01096-0","url":null,"abstract":"<div><p>For suitable kernels on a locally compact space, we develop a theory of inner (outer) pseudo-balayage of quite general signed Radon measures (not necessarily of finite energy) onto quite general sets (not necessarily closed). Such investigations were initiated in Fuglede’s study (Anal. Math., 2016), which was, however, mainly concerned with the outer pseudo-balayage of positive measures of finite energy. The results thereby obtained solve Fuglede’s problem, posed to the author in a private correspondence (2016), whether his theory could be extended to measures of infinite energy. An application of this theory to weighted minimum energy problems is also given.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 4","pages":""},"PeriodicalIF":1.6,"publicationDate":"2025-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145169924","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
Grand and small spaces based on the Calderón’s construction 基于Calderón建筑的大小空间
IF 1.6 3区 数学
Analysis and Mathematical Physics Pub Date : 2025-06-27 DOI: 10.1007/s13324-025-01097-z
Evgenii I. Berezhnoi
{"title":"Grand and small spaces based on the Calderón’s construction","authors":"Evgenii I. Berezhnoi","doi":"10.1007/s13324-025-01097-z","DOIUrl":"10.1007/s13324-025-01097-z","url":null,"abstract":"<div><p>We propose two general methods for defining grand and small spaces based on Calderón’s construction and prove some fundamental properties of these spaces. In particular, we give a complete description of associative spaces to general grand and small spaces. Our description allows us to give an exact answer to the question posed in [25]. We give some examples illustrating our constructions for spaces constructed on sets of finite and infinite measure.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 4","pages":""},"PeriodicalIF":1.6,"publicationDate":"2025-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145170694","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
Invariance properties of the solution operator for measure-valued semilinear transport equations 测度值半线性输运方程解算子的不变性
IF 1.6 3区 数学
Analysis and Mathematical Physics Pub Date : 2025-06-22 DOI: 10.1007/s13324-025-01093-3
Sander C. Hille, Rainey Lyons, Adrian Muntean
{"title":"Invariance properties of the solution operator for measure-valued semilinear transport equations","authors":"Sander C. Hille,&nbsp;Rainey Lyons,&nbsp;Adrian Muntean","doi":"10.1007/s13324-025-01093-3","DOIUrl":"10.1007/s13324-025-01093-3","url":null,"abstract":"<div><p>We provide conditions under which we prove for measure-valued transport equations with non-linear reaction term in the space of finite signed Radon measures, that positivity is preserved, as well as absolute continuity with respect to Lebesgue measure, if the initial condition has that property. Moreover, if the initial condition has <span>(L^p)</span> regular density, then the solution has the same property.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 4","pages":""},"PeriodicalIF":1.6,"publicationDate":"2025-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13324-025-01093-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145167605","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
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
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。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：604180095
Book学术官方微信