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Properties of meromorphic solutions of some delay differential equations 一类时滞微分方程亚纯解的性质
IF 0.5 3区 数学
Analysis Mathematica Pub Date : 2025-08-06 DOI: 10.1007/s10476-025-00099-0
Y. Xu, S. Lan
{"title":"Properties of meromorphic solutions of some delay differential equations","authors":"Y. Xu,&nbsp;S. Lan","doi":"10.1007/s10476-025-00099-0","DOIUrl":"10.1007/s10476-025-00099-0","url":null,"abstract":"<div><p>In this paper, we investigate some delay differential equations, and obtain some results on value distribution, such as poles and fixed points of transcendental meromorphic solutions <span>(w(z))</span> with hyper order strictly less than 1, and their differences <span>(Delta w(z))</span>.</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"51 3","pages":"1019 - 1035"},"PeriodicalIF":0.5,"publicationDate":"2025-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145341320","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 relationship between Carathéodory and squeezing extremal maps on bounded balanced pseudoconvex domains 有界平衡伪凸域上carathacimodory和压缩极值映射的关系
IF 0.5 3区 数学
Analysis Mathematica Pub Date : 2025-08-06 DOI: 10.1007/s10476-025-00102-8
C. Zhong, A. Wang
{"title":"The relationship between Carathéodory and squeezing extremal maps on bounded balanced pseudoconvex domains","authors":"C. Zhong,&nbsp;A. Wang","doi":"10.1007/s10476-025-00102-8","DOIUrl":"10.1007/s10476-025-00102-8","url":null,"abstract":"<div><p>We proved that a map on bounded balanced pseudoconvex domains\u0000whose Shilov boundaries are transitive under the isotropy groups of 0 is\u0000Carathéodory extremal map if and only if it is the extremal map of the squeezing\u0000function at the origin, and we also obtain the formulas of these two extremal maps\u0000which are unique up to unitary linear transformations. Especially, all of these two\u0000extremal maps are non-singular linear transformations. Then we generalize the\u0000above results to balanced domains with center at nonzero points.</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"51 3","pages":"1099 - 1116"},"PeriodicalIF":0.5,"publicationDate":"2025-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145341319","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
Spectrality of a class of self-affine measures with collinear digit sets on (mathbb{R}^{n}) 上共线数集的一类自仿射测度的谱性 (mathbb{R}^{n})
IF 0.5 3区 数学
Analysis Mathematica Pub Date : 2025-08-06 DOI: 10.1007/s10476-025-00100-w
M.-S. Yang, J.-W. Er
{"title":"Spectrality of a class of self-affine measures with collinear digit sets on (mathbb{R}^{n})","authors":"M.-S. Yang,&nbsp;J.-W. Er","doi":"10.1007/s10476-025-00100-w","DOIUrl":"10.1007/s10476-025-00100-w","url":null,"abstract":"<div><p>We study the spectrality of a class of self-affine measures <span>(mu_{M,D})</span> generated by an expanding matrix <span>(Min M_{n}(mathbb{Z}))</span> and a finite collinear digit set <span>({Dsubset mathbb{R}^{n}})</span>. For the general form of the characteristic polynomial of <span>(M)</span>, we analyze the relation between its roots and coefficients, and then give a method to find out a spectrum for <span>(mu_{M,D})</span> by constructing a similarity transformation. This offers a fresh perspective on constructing a spectrum for <span>(mu_{M,D})</span> on <span>(mathbb{R}^{n})</span>. Under a suitable condition, we also obtain a necessary and sufficient condition for self-affine measures with three-element collinear digit set on <span>(mathbb{R}^{n})</span> to be spectral measures, and then construct a counterexample to a conjecture of Liu et al.</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"51 3","pages":"1059 - 1076"},"PeriodicalIF":0.5,"publicationDate":"2025-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145341321","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
Endpoint Sobolev regularity of higher order multilinear maximal commutators 高阶多线性极大换向子的端点Sobolev正则性
IF 0.5 3区 数学
Analysis Mathematica Pub Date : 2025-07-25 DOI: 10.1007/s10476-025-00096-3
F. Liu, Y. Wen, X. Zhang
{"title":"Endpoint Sobolev regularity of higher order multilinear maximal commutators","authors":"F. Liu,&nbsp;Y. Wen,&nbsp;X. Zhang","doi":"10.1007/s10476-025-00096-3","DOIUrl":"10.1007/s10476-025-00096-3","url":null,"abstract":"<div><p>We prove some new bounds and continuity for the derivatives of higher\u0000order multilinear maximal commutators and their fractional variants,\u0000both in the centered and in the uncentered cases. The main results\u0000related to the uncentered case are new even in the linear case. Our\u0000main results not only represent multilinear extension of the main results of [23] but also answer a question\u0000originally proposed by the first author and Ma in [23].</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"51 3","pages":"903 - 939"},"PeriodicalIF":0.5,"publicationDate":"2025-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145341181","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
Restrictions of linear relations on invariant subspaces and group inverse 不变子空间和群逆上线性关系的限制
IF 0.5 3区 数学
Analysis Mathematica Pub Date : 2025-06-25 DOI: 10.1007/s10476-025-00087-4
S. V. Djordjević, I. Roque
{"title":"Restrictions of linear relations on invariant subspaces and group inverse","authors":"S. V. Djordjević,&nbsp;I. Roque","doi":"10.1007/s10476-025-00087-4","DOIUrl":"10.1007/s10476-025-00087-4","url":null,"abstract":"<div><p>In this paper, we will consider two notions of an invariant subspace for a linear relation: the first one is through the graph of a linear relation, and the second one is by using the resolvent function of a linear relation. Through some examples and preliminary results, it is shown that the second notion is more suitable when the spectral properties of liner relations are involved. In the second part of the paper, such a notion of an invariant subspace is allowed to develop, in a constructive way, the concept of group inverse for linear relations.</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"51 2","pages":"423 - 445"},"PeriodicalIF":0.5,"publicationDate":"2025-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10476-025-00087-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145168791","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
Entire solutions of the eiconal type partial differential equations in (mathbb{C}^2) 中斜型偏微分方程的全解 (mathbb{C}^2)
IF 0.5 3区 数学
Analysis Mathematica Pub Date : 2025-06-25 DOI: 10.1007/s10476-025-00086-5
L. Yang, W. Chen, Q. Wang
{"title":"Entire solutions of the eiconal type partial differential equations in (mathbb{C}^2)","authors":"L. Yang,&nbsp;W. Chen,&nbsp;Q. Wang","doi":"10.1007/s10476-025-00086-5","DOIUrl":"10.1007/s10476-025-00086-5","url":null,"abstract":"<div><p>This paper characterizes the entire solutions of the following eiconal type partial differential equations\u0000</p><div><div><span>$$u^2+(a_{1}u_{z_{1}}+a_{2}u_{z_{2}})^2=p,,,, u_{z_{1}}^2+(a_{0}u+a_{2}u_{z_{2}})^2=p ,$$</span></div></div><p>\u0000 and\u0000</p><div><div><span>$$(u+a_{1}u_{z_{1}})^2+(a_{0}u+a_{2}u_{z_{2}})^2=p,$$</span></div></div><p> where <i>p</i> is a polynomial in <span>(mathbb{C}^2)</span>, and <span>(a_{0},a_{1},a_{2})</span> are constants in <span>(mathbb{C})</span>. Descriptions are given and complemented by various examples.</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"51 2","pages":"727 - 748"},"PeriodicalIF":0.5,"publicationDate":"2025-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145169960","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 cut norm and Sampling Lemmas for unbounded kernels 无界核的切范数和抽样引理
IF 0.5 3区 数学
Analysis Mathematica Pub Date : 2025-06-19 DOI: 10.1007/s10476-025-00090-9
P. T. Fekete, D. Kunszenti-Kovács
{"title":"The cut norm and Sampling Lemmas for unbounded kernels","authors":"P. T. Fekete,&nbsp;D. Kunszenti-Kovács","doi":"10.1007/s10476-025-00090-9","DOIUrl":"10.1007/s10476-025-00090-9","url":null,"abstract":"<div><p>Generalizing the bounded kernel results of Borgs, Chayes, Lovász, Sós and Vesztergombi \u0000[2], we prove two Sampling Lemmas for unbounded kernels with respect to the cut norm. On the one hand, we show that given a (symmetric) kernel <span>(Uin L^p([0,1]^2))</span> for some <span>(3&lt;p&lt;infty)</span>, the cut norm of a random <span>(k)</span>-sample of <span>(U)</span> is with high probability within <span>(O(k^{-frac14+frac{1}{4p}}))</span> of the cut norm of <span>(U)</span>. The cut norm of the sample has a strong bias to being larger than the original, allowing us to actually obtain a stronger high probability bound of order <span>(O(k^{-frac 12+frac1p+varepsilon}))</span> for how much smaller it can be (for any <span>(p&gt;2)</span> here). These results are then partially extended to the case of vector valued kernels.</p><p>On the other hand, we show that with high probability, the <span>(k)</span>-samples are also close to <span>(U)</span> in the cut metric, albeit with a weaker bound of order <span>(O((ln k)^{-frac12+frac1{2p}}))</span> (for any appropriate <span>(p&gt;2)</span>). As a corollary, we obtain that whenever <span>(Uin L^p)</span> with <span>(p&gt;4)</span>, the <span>(k)</span>-samples converge almost surely to <span>(U)</span> in the cut metric as <span>(ktoinfty)</span>.\u0000</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"51 2","pages":"477 - 514"},"PeriodicalIF":0.5,"publicationDate":"2025-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10476-025-00090-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145166563","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
Abelian theorems for a variant of the index Whittaker transform over ( mathscr{E'}(mathbb{R}_+)) 指标惠特克变换的一个变量的阿贝尔定理 ( mathscr{E'}(mathbb{R}_+))
IF 0.5 3区 数学
Analysis Mathematica Pub Date : 2025-06-19 DOI: 10.1007/s10476-025-00093-6
J. Maan, B. J. González, E. R. Negrín
{"title":"Abelian theorems for a variant of the index Whittaker transform over ( mathscr{E'}(mathbb{R}_+))","authors":"J. Maan,&nbsp;B. J. González,&nbsp;E. R. Negrín","doi":"10.1007/s10476-025-00093-6","DOIUrl":"10.1007/s10476-025-00093-6","url":null,"abstract":"<div><p>Our goal is to establish Abelian theorems for a variant of the\u0000index Whittaker transform over distributions of compact support.\u0000</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"51 2","pages":"577 - 585"},"PeriodicalIF":0.5,"publicationDate":"2025-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145167296","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
Sparse bounds for maximally truncated oscillatory singular integrals with non-convolutional Hölder class kernels 具有非卷积Hölder类核的最大截断振荡奇异积分的稀疏界
IF 0.5 3区 数学
Analysis Mathematica Pub Date : 2025-06-19 DOI: 10.1007/s10476-025-00095-4
W. Sun, S. Wang
{"title":"Sparse bounds for maximally truncated oscillatory singular integrals with non-convolutional Hölder class kernels","authors":"W. Sun,&nbsp;S. Wang","doi":"10.1007/s10476-025-00095-4","DOIUrl":"10.1007/s10476-025-00095-4","url":null,"abstract":"<div><p> We investigate the sparse bound for maximal oscillatory singular integrals given by\u0000</p><div><div><span>$$T_{P,K}^*f(x)=sup_{epsilon&gt;0} bigg| int_{|x-y|&gt;epsilon}e^{iP(x,y)}K(x,y)f(y) , dy bigg| ,$$</span></div></div><p>\u0000where <span>(P(x,y))</span> is a real-valued polynomial on <span>(mathbb{R}^ntimes mathbb{R}^n)</span> and <span>(K)</span> is a Calderón–Zygmund non-convolutional type kernel. We show that <span>(T_{P,K}^*)</span> satisfies an <span>((r,r))</span>-sparse bound for <span>(1&lt;r&lt;2)</span>, which implies the weighted <span>(L^p(1&lt;p&lt;infty))</span> estimate for the operator <span>(T_{P,K}^*)</span>.\u0000</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"51 2","pages":"687 - 704"},"PeriodicalIF":0.5,"publicationDate":"2025-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145167255","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 collectively (L)-weakly compact sets of operators 在集合(L) -弱紧算子集上
IF 0.5 3区 数学
Analysis Mathematica Pub Date : 2025-06-12 DOI: 10.1007/s10476-025-00088-3
E. Emelyanov
{"title":"On collectively (L)-weakly compact sets of operators","authors":"E. Emelyanov","doi":"10.1007/s10476-025-00088-3","DOIUrl":"10.1007/s10476-025-00088-3","url":null,"abstract":"<div><p>A set of bounded linear operators from a Banach space to a Banach lattice is collectively <span>(L)</span>-weakly compact whenever union of images of the unit ball is <span>(L)</span>-weakly compact. In the present note the Meyer-Nieberg duality theorem is extended to collectively <span>(L)</span>-weakly compact sets of operators, the relationship between collectively <span>(L)</span>-weakly compact sets and collectively almost limited sets is investigated, and the domination problem for collectively compact and collectively <span>(L)</span>-weakly compact sets is studied.</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"51 2","pages":"447 - 455"},"PeriodicalIF":0.5,"publicationDate":"2025-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145164970","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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