Analysis Mathematica最新文献_第9页

On a boundary property of Blaschke products 关于Blaschke乘积的一个边界性质

IF 0.7 3区数学

Analysis Mathematica Pub Date : 2023-03-31 DOI: 10.1007/s10476-023-0212-8

A. A. Danielyan, S. Pasias

引用次数: 1

On limiting directions of entire solutions of complex differential-difference equations 关于复微分差分方程整体解的极限方向

IF 0.7 3区数学

Analysis Mathematica Pub Date : 2023-03-31 DOI: 10.1007/s10476-023-0213-7

H. X. Dai, J. Y. Qiao, T. B. Cao

引用次数: 1

Uniform distribution of sequences and its interplay with functional analysis 序列的均匀分布及其与泛函分析的相互作用

IF 0.7 3区数学

Analysis Mathematica Pub Date : 2023-03-31 DOI: 10.1007/s10476-023-0193-7

S. K. Mercourakis, G. Vassiliadis

{"title":"Uniform distribution of sequences and its interplay with functional analysis","authors":"S. K. Mercourakis, G. Vassiliadis","doi":"10.1007/s10476-023-0193-7","DOIUrl":"10.1007/s10476-023-0193-7","url":null,"abstract":"<div>In this paper we apply ideas from the theory of Uniform Distribution of sequences to Functional Analysis and then drawing inspiration from the consequent results, we study concepts and results in Uniform Distribution itself. so let E be a Banach space. then we prove:\u0000<ol>\u0000 <li>\u0000 (a)\u0000 \u0000 If F is a bounded subset of E and (x in overline {{rm{co}}} (F)) (= the closed convex hull of F), then there is a sequence (xn) ⊆ F which is Cesàro summable to x.\u0000 \u0000 </li>\u0000 <li>\u0000 (b)\u0000 \u0000 If E is separable, F ⊆ E* bounded and (f in {overline {{rm{co}}} ^{{w^ ast}}},(F)), then there is a sequence (fn) ⊆ F whose sequence of arithmetic means ({{{f_1} + cdots +{f_N}} over N}), N ≥ 1 weak*-converges to f.\u0000 \u0000 </li>\u0000 </ol>By the aid of the Krein-Milman theorem, both (a) and (b) have interesting implications for closed, convex and bounded subsets Ω of E such that (Omega = overline {{rm{co}}} ({rm{ex}},Omega)) and for weak* compact and convex subsets of E*. Of particular interest is the case when Ω = BC(K)*, where K is a compact metric space.By further expanding the previous ideas and results, we are able to generalize a classical theorem of Uniform Distribution which is valid for increasing functions φ: I =[0,1] → ℝ with φ(0) = 0 and φ(1) = 1, for functions φ of bounded variation on I with φ(0) = 0 and total variation V01φ = 1.</div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2023-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10476-023-0193-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42987735","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

Mean Value Inequalities for the Digamma Function 二函数的均值不等式

IF 0.7 3区数学

Analysis Mathematica Pub Date : 2023-03-01 DOI: 10.1007/s10476-023-0206-6

H. Alzer, M. K. Kwong

{"title":"Mean Value Inequalities for the Digamma Function","authors":"H. Alzer, M. K. Kwong","doi":"10.1007/s10476-023-0206-6","DOIUrl":"10.1007/s10476-023-0206-6","url":null,"abstract":"<div>Let ψ be the digamma function and let L(a,b) = (b − a)/log(b/a) be the logarithmic mean of a and b. We prove that the inequality <div><div>$$left( * right),,,,,,,,,,,,{kern 1pt} left( {b - a} right)psi left( {sqrt {ab} } right) < left( {Lleft( {a,b} right) - a} right)psi left( a right) + left( {b - Lleft( {a,b} right)} right)psi left( b right)$$</div></div> holds for all real numbers a and b with b > a ≥ α0. Here, α0 ≈ 0.56155 is the only positive solution of <div><div>$$5{psi ^prime }left( x right) + 3x{psi ^{prime prime }}left( x right) = 0.$$</div></div> The constant lower bound α0 is best possible. This refines a result of Chu, Zhang and Tang, who showed that (*) is valid for b > a ≥ 2. Moreover, we prove that the following companion to (*) holds for all a and b with b > a > 0, <div><div>$$left( {Lleft( {a,b} right) - a} right)psi left( a right) + left( {b - Lleft( {a,b} right)} right)psi left( b right) < left( {b - a} right)psi left( {{{a + b} over 2}} right).$$</div></div></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45197006","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

Spectral eigenmatrix of the planar spectral measures with four elements 四元平面光谱测度的光谱特征矩阵

IF 0.7 3区数学

Analysis Mathematica Pub Date : 2023-02-28 DOI: 10.1007/s10476-023-0207-5

S.-J. Li, W.-H. Ai

引用次数: 0

A decay estimate for the Fourier transform of certain singular measures in ℝ4 and applications 中某些奇异测度的傅立叶变换的衰变估计ℝ4及其应用

IF 0.7 3区数学

Analysis Mathematica Pub Date : 2023-02-28 DOI: 10.1007/s10476-023-0208-4

T. Godoy, P. Rocha

引用次数: 0

A particular family of absolutely monotone functions and relations to branching processes 一类特殊的绝对单调函数及其与分支过程的关系

IF 0.7 3区数学

Analysis Mathematica Pub Date : 2023-02-28 DOI: 10.1007/s10476-023-0211-9

M. Möhle

引用次数: 0

On the order and the type of an entire function 关于整个函数的阶数和类型

IF 0.7 3区数学

Analysis Mathematica Pub Date : 2023-02-28 DOI: 10.1007/s10476-023-0210-x

E. Kallitsi, V. G. Papanicolaou, G. Smyrlis

引用次数: 0

Inverse-closedness of the subalgebra of locally nuclear operators 局部核算子子代数的逆闭性

IF 0.7 3区数学

Analysis Mathematica Pub Date : 2023-02-28 DOI: 10.1007/s10476-023-0194-6

E. Yu. Guseva, V. G. Kurbatov

{"title":"Inverse-closedness of the subalgebra of locally nuclear operators","authors":"E. Yu. Guseva, V. G. Kurbatov","doi":"10.1007/s10476-023-0194-6","DOIUrl":"10.1007/s10476-023-0194-6","url":null,"abstract":"<div>Let X be a Banach space and T be a bounded linear operator acting in lp(ℤc,X), 1 ≤ p ≤ ∞. The operator T is called locally nuclear if it can be represented in the form <div><div>$${(Tx)_k} = sumlimits_{m in {mathbb{Z}^c}} {{b_{km}}} {x_{k - m}},quad k in {mathbb{Z}^c},$$</div></div> where bkm: X → X are nuclear, <div><div>$${left| {{b_{km}}} right|_{{mathfrak{S}_1}}} le {beta _m},quad k,m in {mathbb{Z}^c},$$</div></div>(left|cdotright|{_{{mathfrak{S}_1}}}) is the nuclear norm, β ∈ l1(ℤc,ℂ) or β ∈ l1,g(ℤc,ℂ), and g is an appropriate weight on ℤc. It is established that if T is locally nuclear and the operator 1 + T is invertible, then the inverse operator (1 + T)−1 has the form 1 + T1, where T1 is also locally nuclear. This result is refined for the case of operators acting in Lp (ℝc,ℂ).</div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2023-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10476-023-0194-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48111917","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 Double Layer Potential Operator on Hardy Spaces Hardy空间上的双层势算子

IF 0.7 3区数学

Analysis Mathematica Pub Date : 2023-02-08 DOI: 10.1007/s10476-023-0202-x

Y. Komori-Furuya

引用次数: 0