Analysis and Mathematical Physics最新文献_第2页

Fractional Milne-type inequalities for twice differentiable functions for Riemann–Liouville fractional integrals 黎曼-刘维尔分式积分的二次微分函数的分式米尔恩型不等式

IF 1.4 3区数学

Analysis and Mathematical Physics Pub Date : 2024-10-18 DOI: 10.1007/s13324-024-00980-5

Wali Haider, Hüseyin Budak, Asia Shehzadi

引用次数: 0

Notes on pseudo symmetric and pseudo Ricci symmetric generalized Robertson–Walker space-times 关于伪对称和伪利玛窦对称广义罗伯逊-沃克时空的说明

IF 1.4 3区数学

Analysis and Mathematical Physics Pub Date : 2024-10-14 DOI: 10.1007/s13324-024-00978-z

Abdallah Abdelhameed Syied, Uday Chand De, Nasser Bin Turki, Gabriel-Eduard Vîlcu

{"title":"Notes on pseudo symmetric and pseudo Ricci symmetric generalized Robertson–Walker space-times","authors":"Abdallah Abdelhameed Syied, Uday Chand De, Nasser Bin Turki, Gabriel-Eduard Vîlcu","doi":"10.1007/s13324-024-00978-z","DOIUrl":"10.1007/s13324-024-00978-z","url":null,"abstract":"<div>We establish two key results regarding pseudo symmetric and pseudo Ricci symmetric space-times. Firstly, we demonstrate that in pseudo symmetric generalized Robertson-Walker space-times either the scalar curvature remains constant or the associated vector field (B_{i}) is irrotational. Secondly, in pseudo Ricci symmetric generalized Robertson-Walker space-times, we establish that either the scalar curvature is zero or the associated vector field (A_{i}) is irrotational. We identify the conditions to ensure both (B_{i}) and (A_{i}) of these manifolds are acceleration-free and vorticity-free. We provide evidence that a pseudo symmetric and pseudo Ricci symmetric GRW space-time can be described as a perfect fluid. In a pseudo symmetric space-time, the state equation is given by (p=frac{4-n}{ 2n-2}mu ), whereas in a pseudo Ricci symmetric space-time, the state equation takes the form (p=frac{3-n}{n-1}mu ), where p and (mu ) are the isotropic pressure and the energy density. It is noteworthy that if (n=4) , a pseudo symmetric space-time corresponds to the dust matter era, while a pseudo Ricci symmetric space-time corresponds to the phantom era.</div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2024-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13324-024-00978-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142431066","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 variable anisotropic Hardy spaces 加权变异各向异性哈代空间

IF 1.4 3区数学

Analysis and Mathematical Physics Pub Date : 2024-10-14 DOI: 10.1007/s13324-024-00976-1

Yao He

引用次数: 0

Equidistribution for non-pluripolar currents with respect to holomorphic correspondences of compact Kähler manifolds 关于紧凑凯勒流形全形对应的非极性电流的等差数列

IF 1.4 3区数学

Analysis and Mathematical Physics Pub Date : 2024-10-13 DOI: 10.1007/s13324-024-00977-0

Taeyong Ahn, Duc-Viet Vu

引用次数: 0

Necessary and sufficient conditions for the quantitative weighted bounds of the Calderón type commutator for the Littlewood–Paley operator 利特尔伍德-帕利算子的卡尔德隆型换元的定量加权边界的必要条件和充分条件

IF 1.4 3区数学

Analysis and Mathematical Physics Pub Date : 2024-10-10 DOI: 10.1007/s13324-024-00975-2

Yanping Chen, Xiaoxuan Chang, Teng Wang

{"title":"Necessary and sufficient conditions for the quantitative weighted bounds of the Calderón type commutator for the Littlewood–Paley operator","authors":"Yanping Chen, Xiaoxuan Chang, Teng Wang","doi":"10.1007/s13324-024-00975-2","DOIUrl":"10.1007/s13324-024-00975-2","url":null,"abstract":"<div>In this paper, we study the necessary and sufficient conditions for the quantitative weighted bounds of the Calderón type commutator for the Littlewood–Paley operator. Let (g_{Omega ,1;b}) be the Calderón type commutator for the Littlewood–Paley operator where (Omega ) is homogeneous of degree zero and satisfies the cancellation condition on the unit sphere, and (bin Lip(mathbb {R}^n)). More precisely, for the sufficiency, we use a new operator (widetilde{G}_{Omega ,m;b}^j). Through the Calderón–Zygmund decomposition and the grand maximal operator (mathcal {M}_{widetilde{G}_{Omega ,m;b}^j}) of weak type (1,1), we establish a sparse domination of (widetilde{G}_{Omega ,m;b}^j). And then applying the interpolation theorem with change of measures and the relationship between the operators (g_{Omega ,1;b}) and (widetilde{G}_{Omega ,m;b}^j), we get the weighted bounds of the Calderón type commutators for the Littlewood–Paley operator (g_{Omega ,1;b}). In addition, for the necessity, through the local mean oscillation, we obtain Lip-type characterizations of (Lip(mathbb {R}^n)) via the weighted bounds of the Calderón type commutators for the Littlewood–Paley operator.</div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2024-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142411135","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

Differential subordination for bounded turning functions using pre-Schwarzian and the Schwarzian derivatives 使用前施瓦茨导数和施瓦茨导数的有界转折函数的微分从属关系

IF 1.4 3区数学

Analysis and Mathematical Physics Pub Date : 2024-10-10 DOI: 10.1007/s13324-024-00973-4

Neenu Jose, V. Ravichandran, Abhijit Das

引用次数: 0

On the Schatten exponent in orthonormal Strichartz estimate for the Dunkl operators 论邓克尔算子正交斯特里查兹估计中的沙腾指数

IF 1.4 3区数学

Analysis and Mathematical Physics Pub Date : 2024-10-06 DOI: 10.1007/s13324-024-00970-7

Sunit Ghosh, Jitendriya Swain

引用次数: 0

Dispersionless limit of the B-Toda hierarchy B-Toda 层次结构的无分散极限

IF 1.4 3区数学

Analysis and Mathematical Physics Pub Date : 2024-10-06 DOI: 10.1007/s13324-024-00971-6

A. Zabrodin

引用次数: 0

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":null,"pages":null},"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