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Mediterranean Journal of Mathematics最新文献

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Pseudo-Ricci–Yamabe Soliton Real Hypersurfaces in the Complex Two-Plane Grassmannians 复双面格拉斯曼中的伪里奇-山边孤子实超大曲面
IF 1.1 3区 数学
Mediterranean Journal of Mathematics Pub Date : 2024-03-14 DOI: 10.1007/s00009-024-02607-2
Young Jin Suh
{"title":"Pseudo-Ricci–Yamabe Soliton Real Hypersurfaces in the Complex Two-Plane Grassmannians","authors":"Young Jin Suh","doi":"10.1007/s00009-024-02607-2","DOIUrl":"https://doi.org/10.1007/s00009-024-02607-2","url":null,"abstract":"<p>In this paper, we want to give a complete classification of Hopf real hypersurfaces in the complex two-plane Grassmannian <span>(G_2({{mathbb {C}}}^{m+2}))</span> satisfying a pseudo-Ricci–Yamabe soliton if we use the notion of pseudo-anti commuting Ricci tensor. In addition to this one, we have proved that a real hypersurface with isometric Reeb flow in the complex two-plane Grassmannian <span>(G_2({{mathbb {C}}}^{m+2}))</span> does not satisfy a gradient pseudo-Ricci–Yamabe soliton <span>((M, Df,{delta },{psi },{Omega },{rho },{gamma }, g))</span>. Moreover, we can also prove that there does not exist a contact hypersurface satisfying a gradient pseudo-Ricci–Yamabe soliton in <span>(G_2({{mathbb {C}}}^{m+2}))</span>.</p>","PeriodicalId":49829,"journal":{"name":"Mediterranean Journal of Mathematics","volume":"109 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140149707","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
Maximal Ideals of Generalized Summing Linear Operators 广义求和线性算子的最大理想
IF 1.1 3区 数学
Mediterranean Journal of Mathematics Pub Date : 2024-03-13 DOI: 10.1007/s00009-024-02605-4
Geraldo Botelho, Jamilson R. Campos, Lucas Nascimento
{"title":"Maximal Ideals of Generalized Summing Linear Operators","authors":"Geraldo Botelho, Jamilson R. Campos, Lucas Nascimento","doi":"10.1007/s00009-024-02605-4","DOIUrl":"https://doi.org/10.1007/s00009-024-02605-4","url":null,"abstract":"<p>We prove when a Banach ideal of linear operators defined, or characterized, by the transformation of vector-valued sequences is maximal. Known results are recovered as particular cases and new information is obtained. To accomplish this task, we study a tensor quasi-norm determined by the underlying sequence classes. The duality theory for these tensor quasi-norms is also developed.</p>","PeriodicalId":49829,"journal":{"name":"Mediterranean Journal of Mathematics","volume":"12 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140115224","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 Global Solution for a Class of p(x)-Laplacian Equations with Logarithmic Nonlinearity 论一类具有对数非线性的 p(x)-Laplacian 方程的全局解法
IF 1.1 3区 数学
Mediterranean Journal of Mathematics Pub Date : 2024-03-12 DOI: 10.1007/s00009-024-02604-5
Quach Van Chuong, Le Cong Nhan, Le Xuan Truong
{"title":"On Global Solution for a Class of p(x)-Laplacian Equations with Logarithmic Nonlinearity","authors":"Quach Van Chuong, Le Cong Nhan, Le Xuan Truong","doi":"10.1007/s00009-024-02604-5","DOIUrl":"https://doi.org/10.1007/s00009-024-02604-5","url":null,"abstract":"<p>In this paper, we consider a class of <i>p</i>(<i>x</i>)-Laplacian equations with logarithmic source terms. Using the potential well method combined with the Nehari manifold, we prove some results on the global existence and blow-up of weak solutions in the subcritical case. Moreover, we also obtain decay estimates for the global weak solutions. Otherwise, we give an upper bound for the maximal existence time of the blow-up weak solutions under different levels of initial energy. The main difficulties here not only come from the usual difficulties in variable exponent spaces but also from the sign-changing property of the logarithmic function. Our results improve (Boudjeriou in J Elliptic Parabol Equ 6:773–794 2020) and fill the gaps in Liu et al. (Nonlinear Anal Real World Appl 64:103449, 2022). Notice that the methods here are different from Boudjeriou (2020) and can be used to extend (Zeng et al. in J Nonlinear Math Phys 29:41–57, 2022).</p>","PeriodicalId":49829,"journal":{"name":"Mediterranean Journal of Mathematics","volume":"160 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140115084","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
Criteria of a Four-Weight Weak Type Inequality for One-Sided Maximal Operators in Orlicz Classes 奥利奇类中单边最大算子的四重弱型不等式标准
IF 1.1 3区 数学
Mediterranean Journal of Mathematics Pub Date : 2024-03-12 DOI: 10.1007/s00009-024-02602-7
Yanbo Ren, Jing Wang
{"title":"Criteria of a Four-Weight Weak Type Inequality for One-Sided Maximal Operators in Orlicz Classes","authors":"Yanbo Ren, Jing Wang","doi":"10.1007/s00009-024-02602-7","DOIUrl":"https://doi.org/10.1007/s00009-024-02602-7","url":null,"abstract":"<p>In this paper, some necessary and sufficient conditions for a weighted weak type inequality of the form </p><span>$$begin{aligned}&amp;int _{{ {{M_g^ + (f) &gt; lambda }}}} {varphi (lambda {omega _1}(x))} {omega _2}(x)g(x)mathrm{{d}}x &amp;quad le {C_1}int _{ - infty }^{ + infty } {varphi ({C_1} |{f(x)}|{omega _3}(x)){omega _4}(x)g(x)mathrm{{d}}x} end{aligned}$$</span><p>to hold are obtained, which generalize some known results.</p>","PeriodicalId":49829,"journal":{"name":"Mediterranean Journal of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140115219","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 the Partial $$ Pi $$ -Property of Some Subgroups of Prime Power Order of Finite Groups 论有限群的一些素幂级数子群的部分 $$ Pi $$ -Property
IF 1.1 3区 数学
Mediterranean Journal of Mathematics Pub Date : 2024-03-09 DOI: 10.1007/s00009-024-02603-6
{"title":"On the Partial $$ Pi $$ -Property of Some Subgroups of Prime Power Order of Finite Groups","authors":"","doi":"10.1007/s00009-024-02603-6","DOIUrl":"https://doi.org/10.1007/s00009-024-02603-6","url":null,"abstract":"<h3>Abstract</h3> <p>Let <em>H</em> be a subgroup of a finite group <em>G</em>. We say that <em>H</em> satisfies the partial <span> <span>( Pi )</span> </span>-property in <em>G</em> if there exists a chief series <span> <span>( varGamma _{G}: 1 =G_{0}&lt; G_{1}&lt; cdots &lt; G_{n}= G )</span> </span> of <em>G</em> such that for every <em>G</em>-chief factor <span> <span>( G_{i}/G_{i-1} (1le ile n) )</span> </span> of <span> <span>( varGamma _{G} ,)</span> </span> <span> <span>( | G / G_{i-1}: N _{G/G_{i-1}} (HG_{i-1}/G_{i-1}cap G_{i}/G_{i-1})| )</span> </span> is a <span> <span>( pi (HG_{i-1}/G_{i-1}cap G_{i}/G_{i-1}) )</span> </span>-number. In this paper, we study the influence of some subgroups of prime power order satisfying the partial <span> <span>( Pi )</span> </span>-property on the structure of a finite group.</p>","PeriodicalId":49829,"journal":{"name":"Mediterranean Journal of Mathematics","volume":"39 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140105714","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
Abstract Differential Equations and $$L^{q,alpha } $$ -Hölder Functions 抽象微分方程与 $$L^{q,alpha }荷尔德函数
IF 1.1 3区 数学
Mediterranean Journal of Mathematics Pub Date : 2024-03-07 DOI: 10.1007/s00009-024-02596-2
Eduardo Hernandez, Lucas Lisboa, Denis Fernandes
{"title":"Abstract Differential Equations and $$L^{q,alpha } $$ -Hölder Functions","authors":"Eduardo Hernandez, Lucas Lisboa, Denis Fernandes","doi":"10.1007/s00009-024-02596-2","DOIUrl":"https://doi.org/10.1007/s00009-024-02596-2","url":null,"abstract":"<p>We introduce the class of <span>(L^{q,alpha })</span>-Hölder functions and study the local and global existence and uniqueness of solution for abstract evolution differential equations assuming that the non-linear term is a <span>(L^{q,alpha })</span>-Hölder function. In the last section, some examples with applications to partial differential equations are presented.</p>","PeriodicalId":49829,"journal":{"name":"Mediterranean Journal of Mathematics","volume":"20 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140075063","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
Expansivity and Contractivity of Toeplitz Operators on Newton Spaces 牛顿空间上托普利兹算子的扩张性和收缩性
IF 1.1 3区 数学
Mediterranean Journal of Mathematics Pub Date : 2024-03-06 DOI: 10.1007/s00009-024-02599-z
Eungil Ko, Ji Eun Lee, Jongrak Lee
{"title":"Expansivity and Contractivity of Toeplitz Operators on Newton Spaces","authors":"Eungil Ko, Ji Eun Lee, Jongrak Lee","doi":"10.1007/s00009-024-02599-z","DOIUrl":"https://doi.org/10.1007/s00009-024-02599-z","url":null,"abstract":"<p>The Newton space <span>(N^2({{mathbb {H}}}))</span> has Newton polynomials as an orthonormal basis. In this paper, we study some properties of Newton polynomials. Using these results, we investigate properties of expansive and contractive Toeplitz operators with analytic and co-analytic symbols on a Newton space.</p>","PeriodicalId":49829,"journal":{"name":"Mediterranean Journal of Mathematics","volume":"4 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140044621","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 the Boundedness of Sublinear Operators on Grand Herz–Hardy Spaces with Variable Exponent 论具有可变指数的大赫兹-哈代空间上亚线性算子的有界性
IF 1.1 3区 数学
Mediterranean Journal of Mathematics Pub Date : 2024-02-26 DOI: 10.1007/s00009-024-02593-5
Faiza Shabbir, Muhammad Asad Zaighum
{"title":"On the Boundedness of Sublinear Operators on Grand Herz–Hardy Spaces with Variable Exponent","authors":"Faiza Shabbir, Muhammad Asad Zaighum","doi":"10.1007/s00009-024-02593-5","DOIUrl":"https://doi.org/10.1007/s00009-024-02593-5","url":null,"abstract":"<p>In this paper, grand Herz–Hardy spaces with variable exponent is introduced. We prove the atomic decomposition of grand Herz–Hardy spaces with variable exponent. As an application we prove the boundedness of sublinear operators on grand Herz–Hardy spaces with variable exponent.</p>","PeriodicalId":49829,"journal":{"name":"Mediterranean Journal of Mathematics","volume":"30 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139969204","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
Complex Resonance Behaviors of Weak Nonlinear Duffing-van der Pol Systems Under Multi-frequency Excitation 多频激励下弱非线性杜芬-范德波尔系统的复杂共振行为
IF 1.1 3区 数学
Mediterranean Journal of Mathematics Pub Date : 2024-02-26 DOI: 10.1007/s00009-024-02592-6
Nannan Wang, Songlin Chen
{"title":"Complex Resonance Behaviors of Weak Nonlinear Duffing-van der Pol Systems Under Multi-frequency Excitation","authors":"Nannan Wang, Songlin Chen","doi":"10.1007/s00009-024-02592-6","DOIUrl":"https://doi.org/10.1007/s00009-024-02592-6","url":null,"abstract":"<p>In this paper, some resonance behaviors and stability for the solutions of the Duffing-van der Pol system under multi-frequency excitation are studied. First, the first-order asymptotic solution of the system under resonance circumstance is obtained by the method of multiple scales, the approximation sketch is compared with the numerical solution of the system, and the result indicates the validity of the asymptotic approximate solution. Then, the amplitude-frequency equation of steady-state response is derived. The amplitude-frequency equation of the system shows phenomenon of multiple solutions. Through numerical simulation, the influences of the Duffing parameter, van der Pol parameter and external force amplitude on the dynamic behavior and stability of the system were studied. Compared to ones of the Duffing system or van der Pol system, the amplitude-frequency relationship of the Duffing-van der Pol system is more complex. Finally, based on Lyapunov stability theory, the stability condition for a steady-state solution involving system parameters in case of the combination resonance is obtained. The research achievements provide a theoretical basis for the analysis and control design of such systems in engineering.</p>","PeriodicalId":49829,"journal":{"name":"Mediterranean Journal of Mathematics","volume":"175 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139969207","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
Generalized Fourier Multipliers via Mittag-Leffler Functions 通过 Mittag-Leffler 函数的广义傅里叶乘法器
IF 1.1 3区 数学
Mediterranean Journal of Mathematics Pub Date : 2024-02-20 DOI: 10.1007/s00009-024-02587-3
{"title":"Generalized Fourier Multipliers via Mittag-Leffler Functions","authors":"","doi":"10.1007/s00009-024-02587-3","DOIUrl":"https://doi.org/10.1007/s00009-024-02587-3","url":null,"abstract":"<h3>Abstract</h3> <p>A Fourier multiplier related to Mittag-Leffler function is introduced. We prove that our multiplier is radial on <span> <span>({mathbb {R}} ^{n})</span> </span>and generalizes the Bessel function. Furthermore, we study the <span> <span>(L^{2})</span> </span> boundedness of the related Mittag-Leffler maximal function, the Littlewood–Paley <em>g</em>-function, and the discrete singular integral operator. We prove that the three operators are bounded on <span> <span>(L^{2}({mathbb {R}}^{n}))</span> </span>. In addition, our formulation of the introduced Mittag-Leffler maximal function is a solution of a diffusion equation. Our results generalize previously known results.</p>","PeriodicalId":49829,"journal":{"name":"Mediterranean Journal of Mathematics","volume":"17 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139923192","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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