发布求助
文献互助 智能选刊 最新文献

arXiv - MATH - Functional Analysis最新文献

筛选
英文 中文
Pointwise and uniform bounds for functions of the Laplacian on non-compact symmetric spaces 非紧凑对称空间上拉普拉奇函数的点式和均匀界限
arXiv - MATH - Functional Analysis Pub Date : 2024-09-04 DOI: arxiv-2409.02688
Yulia Kuznetsova, Zhipeng Song
{"title":"Pointwise and uniform bounds for functions of the Laplacian on non-compact symmetric spaces","authors":"Yulia Kuznetsova, Zhipeng Song","doi":"arxiv-2409.02688","DOIUrl":"https://doi.org/arxiv-2409.02688","url":null,"abstract":"Let $L$ be the distinguished Laplacian on the Iwasawa $AN$ group associated\u0000with a semisimple Lie group $G$. Assume $F$ is a Borel function on\u0000$mathbb{R}^+$. We give a condition on $F$ such that the kernels of the\u0000functions $F(L)$ are uniformly bounded. This condition involves the decay of\u0000$F$ only and not its derivatives. By a known correspondence, this implies\u0000pointwise estimates for a wide range of functions of the Laplace-Beltrami\u0000operator on symmetric spaces. In particular, when $G$ is of real rank one and\u0000$F(x)={rm e}^{itsqrt x}psi(sqrt x)$, our bounds are sharp.","PeriodicalId":501036,"journal":{"name":"arXiv - MATH - Functional Analysis","volume":"38 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142208175","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Generalized complex Stein manifold 广义复斯坦因流形
arXiv - MATH - Functional Analysis Pub Date : 2024-09-03 DOI: arxiv-2409.01912
Debjit Pal
{"title":"Generalized complex Stein manifold","authors":"Debjit Pal","doi":"arxiv-2409.01912","DOIUrl":"https://doi.org/arxiv-2409.01912","url":null,"abstract":"We introduce the notion of a generalized complex (GC) Stein manifold and\u0000provide complete characterizations in three fundamental aspects. First, we\u0000extend Cartan's Theorem A and B within the framework of GC geometry. Next, we\u0000define $L$-plurisubharmonic functions and develop an associated $L^2$ theory.\u0000This leads to a characterization of GC Stein manifolds using\u0000$L$-plurisubharmonic exhaustion functions. Finally, we establish the existence\u0000of a proper GH embedding from any GC Stein manifold into $mathbb{R}^{2n-2k}\u0000times mathbb{C}^{2k+1}$, where $2n$ and $k$ denote the dimension and type of\u0000the GC Stein manifold, respectively. This provides a characterization of GC\u0000Stein manifolds via GH embeddings. Several examples of GC Stein manifolds are\u0000given.","PeriodicalId":501036,"journal":{"name":"arXiv - MATH - Functional Analysis","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142226621","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Improved fewnomial upper bounds from Wronskians and dessins d'enfant 从 Wronskians 和 dessins d'enfant 看改进的小数上界
arXiv - MATH - Functional Analysis Pub Date : 2024-09-03 DOI: arxiv-2409.01651
Boulos El Hilany, Sébastien Tavenas
{"title":"Improved fewnomial upper bounds from Wronskians and dessins d'enfant","authors":"Boulos El Hilany, Sébastien Tavenas","doi":"arxiv-2409.01651","DOIUrl":"https://doi.org/arxiv-2409.01651","url":null,"abstract":"We use Grothendieck's dessins d'enfant to show that if $P$ and $Q$ are two\u0000real polynomials, any real function of the form $x^alpha(1-x)^{beta} P - Q$,\u0000has at most $deg P +deg Q + 2$ roots in the interval $]0,~1[$. As a\u0000consequence, we obtain an upper bound on the number of positive solutions to a\u0000real polynomial system $f=g=0$ in two variables where $f$ has three monomials\u0000terms, and $g$ has $t$ terms. The approach we adopt for tackling this Fewnomial\u0000bound relies on the theory of Wronskians, which was used in Koiran et. al.\u0000(J. Symb. Comput., 2015) for producing the first upper bound which is\u0000polynomial in $t$.","PeriodicalId":501036,"journal":{"name":"arXiv - MATH - Functional Analysis","volume":"62 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142208190","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Discrete Triebel-Lizorkin spaces and expansive matrices 离散 Triebel-Lizorkin 空间和扩张矩阵
arXiv - MATH - Functional Analysis Pub Date : 2024-09-03 DOI: arxiv-2409.01849
Jordy Timo van Velthoven, Felix Voigtlaender
{"title":"Discrete Triebel-Lizorkin spaces and expansive matrices","authors":"Jordy Timo van Velthoven, Felix Voigtlaender","doi":"arxiv-2409.01849","DOIUrl":"https://doi.org/arxiv-2409.01849","url":null,"abstract":"We provide a characterization of two expansive dilation matrices yielding\u0000equal discrete anisotropic Triebel-Lizorkin spaces. For two such matrices $A$\u0000and $B$, it is shown that $dot{mathbf{f}}^{alpha}_{p,q}(A) =\u0000dot{mathbf{f}}^{alpha}_{p,q}(B)$ for all $alpha in mathbb{R}$ and $p, q\u0000in (0, infty]$ if and only if the set ${A^j B^{-j} : j in mathbb{Z}}$ is\u0000finite, or in the trivial case when $p = q$ and $|det(A)|^{alpha + 1/2 - 1/p}\u0000= |det(B)|^{alpha + 1/2 - 1/p}$. This provides an extension of a result by\u0000Triebel for diagonal dilations to arbitrary expansive matrices. The obtained\u0000classification of dilations is different from corresponding results for\u0000anisotropic Triebel-Lizorkin function spaces.","PeriodicalId":501036,"journal":{"name":"arXiv - MATH - Functional Analysis","volume":"22 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142208189","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Generalized Euclidean operator radius inequalities of a pair of bounded linear operators 一对有界线性算子的广义欧氏算子半径不等式
arXiv - MATH - Functional Analysis Pub Date : 2024-09-03 DOI: arxiv-2409.02235
Suvendu Jana
{"title":"Generalized Euclidean operator radius inequalities of a pair of bounded linear operators","authors":"Suvendu Jana","doi":"arxiv-2409.02235","DOIUrl":"https://doi.org/arxiv-2409.02235","url":null,"abstract":"Let $ mathbb{B}(mathscr{H})$ represent the $C^*$-algebra, which consists of\u0000all bounded linear operators on $mathscr{H},$ and let $N ( .) $ be a norm on $\u0000mathbb{B}(mathscr{H})$. We define a norm $w_{(N,e)} (. , . )$ on $\u0000mathbb{B}^2(mathscr{H})$ by $$\u0000w_{(N,e)}(B,C)=underset{|lambda_1|^2+lambda_2|^2leq1}sup\u0000underset{thetainmathbb{R}}sup Nleft(Re\u0000left(e^{itheta}(lambda_1B+lambda_2C)right)right),$$ for every\u0000$B,Cinmathbb{B}(mathscr{H})$ and $lambda_1,lambda_2inmathbb{C}.$ We\u0000investigate basic properties of this norm and prove some bounds involving it.\u0000In particular, when $N( .)$ is the Hilbert-Schmidt norm, we prove some\u0000Hilbert-Schmidt Euclidean operator radius inequalities for a pair of bounded\u0000linear operators.","PeriodicalId":501036,"journal":{"name":"arXiv - MATH - Functional Analysis","volume":"2 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142208174","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Covering Constants for Metric Projection Operator with Applications to Stochastic Fixed-Point Problems 公因子投影算子的覆盖常数及其在随机定点问题中的应用
arXiv - MATH - Functional Analysis Pub Date : 2024-09-03 DOI: arxiv-2409.01511
Jinlu Li
{"title":"Covering Constants for Metric Projection Operator with Applications to Stochastic Fixed-Point Problems","authors":"Jinlu Li","doi":"arxiv-2409.01511","DOIUrl":"https://doi.org/arxiv-2409.01511","url":null,"abstract":"In this paper, we use the Mordukhovich derivatives to precisely find the\u0000covering constants for the metric projection operator onto nonempty closed and\u0000convex subsets in uniformly convex and uniformly smooth Banach spaces. We\u0000consider three cases of the subsets: closed balls in uniformly convex and\u0000uniformly smooth Banach spaces, closed and convex cylinders in l, and the\u0000positive cone in L, for some p. By using Theorem 3.1 in [2] and as applications\u0000of covering constants obtained in this paper, we prove the solvability of some\u0000stochastic fixed-point problems. We also provide three examples with specific\u0000solutions of stochastic fixed-point problems.","PeriodicalId":501036,"journal":{"name":"arXiv - MATH - Functional Analysis","volume":"6 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142208201","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Weak limits of Sobolev homeomorphisms are one to one 索波列同构的弱极限是一对一的
arXiv - MATH - Functional Analysis Pub Date : 2024-09-02 DOI: arxiv-2409.01260
Ondřej Bouchala, Stanislav Hencl, Zheng Zhu
{"title":"Weak limits of Sobolev homeomorphisms are one to one","authors":"Ondřej Bouchala, Stanislav Hencl, Zheng Zhu","doi":"arxiv-2409.01260","DOIUrl":"https://doi.org/arxiv-2409.01260","url":null,"abstract":"We prove that the key property in models of Nonlinear Elasticity which\u0000corresponds to the non-interpenetration of matter, i.e. injectivity a.e., can\u0000be achieved in the class of weak limits of homeomorphisms under very minimal\u0000assumptions. Let $Omegasubseteq mathbb{R}^n$ be a domain and let\u0000$p>leftlfloorfrac{n}{2}rightrfloor$ for $ngeq 4$ or $pgeq 1$ for\u0000$n=2,3$. Assume that $f_kin W^{1,p}$ is a sequence of homeomorphisms such that\u0000$f_krightharpoonup f$ weakly in $W^{1,p}$ and assume that $J_f>0$ a.e. Then we\u0000show that $f$ is injective a.e.","PeriodicalId":501036,"journal":{"name":"arXiv - MATH - Functional Analysis","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142208177","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A note on a Halmos problem 关于哈尔莫斯问题的说明
arXiv - MATH - Functional Analysis Pub Date : 2024-09-02 DOI: arxiv-2409.01167
Maximiliano Contino, Eva Gallardo-Gutierrez
{"title":"A note on a Halmos problem","authors":"Maximiliano Contino, Eva Gallardo-Gutierrez","doi":"arxiv-2409.01167","DOIUrl":"https://doi.org/arxiv-2409.01167","url":null,"abstract":"We address the existence of non-trivial closed invariant subspaces of\u0000operators $T$ on Banach spaces whenever their square $T^2$ have or, more\u0000generally, whether there exists a polynomial $p$ with $mbox{deg}(p)geq 2$\u0000such that the lattice of invariant subspaces of $p(T)$ is non-trivial. In the\u0000Hilbert space setting, the $T^2$-problem was posed by Halmos in the seventies\u0000and in 2007, Foias, Jung, Ko and Pearcy conjectured it could be equivalent to\u0000the emph{Invariant Subspace Problem}.","PeriodicalId":501036,"journal":{"name":"arXiv - MATH - Functional Analysis","volume":"4 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142208181","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A class of Berezin-type operators on weighted Fock spaces with $A_{infty}$-type weights 加权 Fock 空间上一类具有 $A_{infty}$ 类权重的贝雷津类算子
arXiv - MATH - Functional Analysis Pub Date : 2024-09-02 DOI: arxiv-2409.01132
Jiale Chen
{"title":"A class of Berezin-type operators on weighted Fock spaces with $A_{infty}$-type weights","authors":"Jiale Chen","doi":"arxiv-2409.01132","DOIUrl":"https://doi.org/arxiv-2409.01132","url":null,"abstract":"Let $0<alpha,beta,t<infty$ and $mu$ be a positive Borel measure on\u0000$mathbb{C}^n$. We consider the Berezin-type operator\u0000$S^{t,alpha,beta}_{mu}$ defined by\u0000$$S^{t,alpha,beta}_{mu}f(z):=left(int_{mathbb{C}^n}e^{-frac{beta}{2}|z-u|^2}|f(u)|^te^{-frac{alpha\u0000t}{2}|u|^2}dmu(u)right)^{1/t},quad zinmathbb{C}^n.$$ We completely\u0000characterize the boundedness and compactness of $S^{t,alpha,beta}_{mu}$ from\u0000the weighted Fock space $F^p_{alpha,w}$ into the Lebesgue space $L^q(wdv)$ for\u0000all possible indices, where $w$ is a weight on $mathbb{C}^n$ that satisfies an\u0000$A_{infty}$-type condition. This solves an open problem raised by Zhou, Zhao\u0000and Tang [Banach J. Math. Anal. 18 (2024), Paper No. 20]. As an application, we\u0000obtain the description of the boundedness and compactness of Toeplitz-type\u0000operators acting between weighted Fock spaces induced by $A_{infty}$-type\u0000weights.","PeriodicalId":501036,"journal":{"name":"arXiv - MATH - Functional Analysis","volume":"51 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142208183","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A note on weaving fusion frames 关于编织融合框架的说明
arXiv - MATH - Functional Analysis Pub Date : 2024-09-02 DOI: arxiv-2409.01288
Animesh Bhandari
{"title":"A note on weaving fusion frames","authors":"Animesh Bhandari","doi":"arxiv-2409.01288","DOIUrl":"https://doi.org/arxiv-2409.01288","url":null,"abstract":"Fusion frames are widely studied for their applications in recovering signals\u0000from large data. These are proved to be very useful in many areas, such as,\u0000distributed processing, wireless sensor networks, packet encoding. Inspired by\u0000the work of Bemrose et al.cite{Be16}, this paper delves into the properties\u0000and characterizations of weaving fusion frames.","PeriodicalId":501036,"journal":{"name":"arXiv - MATH - Functional Analysis","volume":"77 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142208178","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","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：481959085
Book学术官方微信