Annals of Functional Analysis最新文献_第9页

Singular value and norm inequalities involving the numerical radii of matrices 涉及矩阵数值半径的奇异值和规范不等式

IF 1 3区数学

Annals of Functional Analysis Pub Date : 2023-12-19 DOI: 10.1007/s43034-023-00311-y

Ahmad Al-Natoor, Omar Hirzallah, Fuad Kittaneh

引用次数: 0

On the smoothness of normed spaces 论规范空间的平滑性

IF 1 3区数学

Annals of Functional Analysis Pub Date : 2023-12-16 DOI: 10.1007/s43034-023-00310-z

Józef Banaś, Justyna Ochab, Tomasz Zając

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Cesàro-like operators between the Bloch space and Bergman spaces 布洛赫空间与伯格曼空间之间的类塞萨罗算子

IF 1 3区数学

Annals of Functional Analysis Pub Date : 2023-12-09 DOI: 10.1007/s43034-023-00309-6

Yuting Guo, Pengcheng Tang, Xuejun Zhang

{"title":"Cesàro-like operators between the Bloch space and Bergman spaces","authors":"Yuting Guo, Pengcheng Tang, Xuejun Zhang","doi":"10.1007/s43034-023-00309-6","DOIUrl":"10.1007/s43034-023-00309-6","url":null,"abstract":"<div>Let ({mathbb {D}}) be the unit disc in the complex plane. Given a positive finite Borel measure (mu ) on the radius [0, 1), we denote the n-th moment of (mu ) as (mu _{n}), that is, (mu _{n}=int _{[0,1)}t^{n} textrm{d}mu (t).) The Cesàro-like operator ({mathcal {C}}_{mu ,s}) is defined on (H({mathbb {D}})) as follows: If (f(z)=sum _{n=0}^{infty }a_{n}z^{n} in H({mathbb {D}} )) then ({mathcal {C}}_{mu ,s}(f)) is defined by <div><div>$$begin{aligned} {mathcal {C}}_{mu ,s}(f)(z)=sum _{n=0}^{infty }left( mu _{n} sum _{k=0}^{n}frac{Gamma (n-k+s)}{Gamma (s)(n-k)!}a_{k}right) z^{n}, zin {mathbb {D}}. end{aligned}$$</div></div>In this paper, our focus is on the action of the (mathrm Cesgrave{a}ro)-type operator ({mathcal {C}}_{mu ,s}) on spaces of analytic functions in ({mathbb {D}}). We characterize the boundedness (compactness) of the (mathrm Cesgrave{a}ro)-like operator ({mathcal {C}}_{mu ,s}), acting between the Bloch space ({mathcal {B}}) and the Bergman space (A^{p}).</div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2023-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138563346","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

Variations of the James and Schäffer constants in Banach spaces 巴拿赫空间中詹姆斯常数和Schäffer常数的变化

IF 1 3区数学

Annals of Functional Analysis Pub Date : 2023-12-05 DOI: 10.1007/s43034-023-00308-7

Horst Martini, Pier Luigi Papini, Senlin Wu

引用次数: 0

The pseudo-regularity of the range of orthogonal projections in Krein spaces Krein空间中正交投影范围的伪正则性

IF 1 3区数学

Annals of Functional Analysis Pub Date : 2023-11-22 DOI: 10.1007/s43034-023-00307-8

Lulu Zhang, Guojun Hai

引用次数: 0

Positive periodic solutions for certain kinds of delayed q-difference equations with biological background 一类具有生物学背景的时滞q差分方程的正周期解

IF 1 3区数学

Annals of Functional Analysis Pub Date : 2023-11-14 DOI: 10.1007/s43034-023-00306-9

Marko Kostić, Halis Can Koyuncuoğlu, Youssef N. Raffoul

引用次数: 0

Genuine Bernstein–Durrmeyer type operators preserving 1 and (x^j) 真正的Bernstein-Durrmeyer型运算符保留1和 (x^j)

IF 1 3区数学

Annals of Functional Analysis Pub Date : 2023-10-28 DOI: 10.1007/s43034-023-00305-w

Ulrich Abel, Ana Maria Acu, Margareta Heilmann, Ioan Raşa

引用次数: 0

Fixed Point Theorem: variants, affine context and some consequences 不动点定理：变式、仿射上下文和一些结果

IF 1 3区数学

Annals of Functional Analysis Pub Date : 2023-10-24 DOI: 10.1007/s43034-023-00304-x

Anderson L. A. de Araujo, Edir J. F. Leite

{"title":"Fixed Point Theorem: variants, affine context and some consequences","authors":"Anderson L. A. de Araujo, Edir J. F. Leite","doi":"10.1007/s43034-023-00304-x","DOIUrl":"10.1007/s43034-023-00304-x","url":null,"abstract":"<div>In this work, we will present variants Fixed Point Theorem for the affine and classical contexts, as a consequence of general Brouwer’s Fixed Point Theorem. For instance, the affine results will allow working on affine balls, which are defined through the affine (L^{p}) functional (mathcal {E}_{p,Omega }^p) introduced by Lutwak et al. (J Differ Geom 62:17–38, 2002) for (p > 1) that is non convex and does not represent a norm in (mathbb {R}^m). Moreover, we address results for discontinuous functional at a point. As an application, we study critical points of the sequence of affine functionals (Phi _m) on a subspace (W_m) of dimension m given by <div><div>$$begin{aligned} Phi _m(u)=frac{1}{p}mathcal {E}_{p, Omega }^{p}(u) - frac{1}{alpha }Vert uVert ^{alpha }_{L^alpha (Omega )}- int _{Omega }f(x)u textrm{d}x, end{aligned}$$</div></div>where (1<alpha <p), ([W_m]_{m in mathbb {N}}) is dense in (W^{1,p}_0(Omega )) and (fin L^{p'}(Omega )), with (frac{1}{p}+frac{1}{p'}=1).</div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2023-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s43034-023-00304-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50511163","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

Some properties of the extremal function for the Fuglede p-modulus Fuglede p模极值函数的一些性质

IF 1 3区数学

Annals of Functional Analysis Pub Date : 2023-10-24 DOI: 10.1007/s43034-023-00303-y

Małgorzata Ciska-Niedziałomska

引用次数: 0

Estimates for bilinear generalized fractional integral operator and its commutator on generalized Morrey spaces over RD-spaces RD空间上广义Morrey空间上双线性广义分数积分算子及其交换算子的估计

IF 1 3区数学

Annals of Functional Analysis Pub Date : 2023-10-18 DOI: 10.1007/s43034-023-00302-z

Guanghui Lu, Shuangping Tao, Miaomiao Wang

{"title":"Estimates for bilinear generalized fractional integral operator and its commutator on generalized Morrey spaces over RD-spaces","authors":"Guanghui Lu, Shuangping Tao, Miaomiao Wang","doi":"10.1007/s43034-023-00302-z","DOIUrl":"10.1007/s43034-023-00302-z","url":null,"abstract":"<div>Let ((X,d,mu )) be an RD-space. In this paper, we prove that a bilinear generalized fractional integral (widetilde{T}_{alpha }) is bounded from the product of generalized Morrey spaces (mathcal {L}^{varphi _{1},p_{1}}(X)times mathcal {L}^{varphi _{2},p_{2}}(X)) into spaces (mathcal {L}^{varphi ,q}(X)), and it is also bounded from the product of spaces (mathcal {L}^{varphi _{1},p_{1}}(X)times mathcal {L}^{varphi _{2},p_{2}}(X)) into generalized weak Morrey spaces (Wmathcal {L}^{varphi ,q}(X)), where the Lebesgue measurable functions (varphi _{1}, varphi _{2}) and (varphi ) satisfy certain conditions and (varphi _{1}varphi _{2}=varphi ), (alpha in (0,1)) and (frac{1}{q}=frac{1}{p_{1}}+frac{1}{p_{2}}-2alpha ) for (1<p_{1}, p_{2}<frac{1}{alpha }). Furthermore, we establish the boundedness of the commutator (widetilde{T}_{alpha ,b_{1},b_{2}}) formed by (b_{1},b_{2}in ) (textrm{BMO}(X)(hbox {or }textrm{Lip}_{beta }(X))) and (widetilde{T}_{alpha }) on spaces (mathcal {L}^{varphi ,q}(X)) and on spaces (Wmathcal {L}^{varphi ,q}(X)). As applications, we show that the (widetilde{T}_{alpha }) and its commutator (widetilde{T}_{alpha ,b_{1},b_{2}}) are bounded on grand generalized Morrey spaces (mathcal {L}^{theta ,varphi ,p)}(X)) over ((X,d,mu )).</div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2023-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50494520","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