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Boundedness of averaging operators in variable exponent spaces on the sets of infinite measure 无穷测度集上变指数空间中平均算子的有界性
IF 0.5 3区 数学
Analysis Mathematica Pub Date : 2025-10-31 DOI: 10.1007/s10476-025-00123-3
O. L. Vinogradov
{"title":"Boundedness of averaging operators in variable exponent spaces on the sets of infinite measure","authors":"O. L. Vinogradov","doi":"10.1007/s10476-025-00123-3","DOIUrl":"10.1007/s10476-025-00123-3","url":null,"abstract":"<div><p>New sufficient conditions for the uniform boundedness of the Steklov averaging operators in variable exponent \u0000spaces on the sets of infinite measure are obtained. In the spaces of periodic functions, \u0000the criterion is the known local analogue of the Muckenhoupt property. On the sets of infinite measure, \u0000it is not sufficient, and one must add a condition to control a function at infinity. In the present paper, \u0000we give such a condition, which weakens the known property of the logarithmic stabilization.</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"51 4","pages":"1487 - 1503"},"PeriodicalIF":0.5,"publicationDate":"2025-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145766245","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
Sobolev versus homogeneous Sobolev extension Sobolev和齐次Sobolev扩展
IF 0.5 3区 数学
Analysis Mathematica Pub Date : 2025-10-31 DOI: 10.1007/s10476-025-00122-4
P. Koskela, R. Mishra, Z. Zhu
{"title":"Sobolev versus homogeneous Sobolev extension","authors":"P. Koskela,&nbsp;R. Mishra,&nbsp;Z. Zhu","doi":"10.1007/s10476-025-00122-4","DOIUrl":"10.1007/s10476-025-00122-4","url":null,"abstract":"<div><p>In this paper, we study the relationship between Sobolev extension domains and homogeneous Sobolev extension domains. Precisely, we obtain the following results,\u0000</p><ul>\u0000 <li>\u0000 <p>Let <span>(1leq qleq pleq infty)</span>. Then a bounded <span>((L^{1, p}, L^{1, q}))</span>-extension domain is also a <span>((W^{1, p}, W^{1, q}))</span>-extension domain.</p>\u0000 </li>\u0000 <li>\u0000 <p>Let <span>(1leq qleq p&lt;q ^{star} leq infty)</span> or <span>(n&lt; q leq pleq infty)</span>. Then a bounded domain is a <span>((W^{1, p}, W^{1, q}))</span>-extension domain if and only if it is an <span>((L^{1, p}, L^{1, q}))</span>-extension domain.</p>\u0000 </li>\u0000 <li>\u0000 <p>For <span>(1leq q&lt;n)</span> and <span>(q&lt;nq ^{star} &lt;pleq infty)</span>, there exists a bounded domain <span>(Omegasubsetmathbb{R}^n)</span> which is a <span>((W^{1, p}, W^{1, q}))</span>-extension domain but not an <span>((L^{1, p}, L^{1, q}))</span>-extension domain for <span>(1 leq q &lt;pleq n)</span>.</p>\u0000 </li>\u0000 </ul></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"51 4","pages":"1395 - 1419"},"PeriodicalIF":0.5,"publicationDate":"2025-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10476-025-00122-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145766243","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
Analytic versus algebraic density of polynomials 多项式的解析密度与代数密度
IF 0.5 3区 数学
Analysis Mathematica Pub Date : 2025-10-31 DOI: 10.1007/s10476-025-00120-6
C. Berg, B. Simanek, R. Wellman
{"title":"Analytic versus algebraic density of polynomials","authors":"C. Berg,&nbsp;B. Simanek,&nbsp;R. Wellman","doi":"10.1007/s10476-025-00120-6","DOIUrl":"10.1007/s10476-025-00120-6","url":null,"abstract":"<div><p>We show that under very mild conditions on a measure <span>(mu)</span> on the interval <span>([0,infty))</span>, the span of <span>({x^k}_{k=n}^{infty})</span> is dense in <span>(L^2(mu))</span> for any <span>(n=0,1,ldots{})</span>. We present two different proofs of this result, one based on the density index of Berg and Thill and one based on the Hilbert space <span>(L^2(mu)oplus mathbb{C}^{n+1})</span>. Using the index of determinacy of Berg and Durán we prove that if the measure <span>(mu)</span> on <span>(mathbb{R})</span> has infinite index of determinacy then the polynomial ideal <span>(R(x)mathbb{C}[x])</span> is dense in <span>(L^2(mu))</span> for any polynomial <i>R</i> with zeros having no mass under <span>(mu)</span>.</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"51 4","pages":"1187 - 1198"},"PeriodicalIF":0.5,"publicationDate":"2025-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145766281","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
Correction to: Properties of meromorphic solutions of some delay differential equations 修正：若干时滞微分方程亚纯解的性质
IF 0.5 3区 数学
Analysis Mathematica Pub Date : 2025-10-13 DOI: 10.1007/s10476-025-00118-0
Xu Y., Lan S.
{"title":"Correction to: Properties of meromorphic solutions of some delay differential equations","authors":"Xu Y.,&nbsp;Lan S.","doi":"10.1007/s10476-025-00118-0","DOIUrl":"10.1007/s10476-025-00118-0","url":null,"abstract":"","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"51 3","pages":"1037 - 1038"},"PeriodicalIF":0.5,"publicationDate":"2025-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145341172","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 radius subadditivity for integrals of operator-valued functions 算子值函数积分的谱半径子可加性
IF 0.5 3区 数学
Analysis Mathematica Pub Date : 2025-09-24 DOI: 10.1007/s10476-025-00111-7
H. Stanković, M. Krstić
{"title":"Spectral radius subadditivity for integrals of operator-valued functions","authors":"H. Stanković,&nbsp;M. Krstić","doi":"10.1007/s10476-025-00111-7","DOIUrl":"10.1007/s10476-025-00111-7","url":null,"abstract":"<div><p>In this paper, we prove that if a commuting family of operators <span>( tau = (T_lambda)_{lambdainLambda})</span> on a Banach space <span>(mathcal{X})</span> is Bochner integrable, then\u0000</p><div><div><span>$$rleft({}^{^{B}}!!!!int_{Lambda}T_{lambda}dmu(lambda) right) leq int_Lambda r(T_lambda),dmu(lambda).$$</span></div></div><p>\u0000This result extends the well-known theorem on the subadditivity of the spectral radius for a finite set of commuting operators. We also provide an example illustrating that Bochner integrability cannot be substituted by a weaker form of integrability.</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"51 3","pages":"997 - 1009"},"PeriodicalIF":0.5,"publicationDate":"2025-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145341169","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
Several reduced forms of certain higher-order delay differential equations with meromorphic solutions 一类具有亚纯解的高阶时滞微分方程的几种简化形式
IF 0.5 3区 数学
Analysis Mathematica Pub Date : 2025-09-10 DOI: 10.1007/s10476-025-00113-5
Y. Chen, R. J. Korhonen
{"title":"Several reduced forms of certain higher-order delay differential equations with meromorphic solutions","authors":"Y. Chen,&nbsp;R. J. Korhonen","doi":"10.1007/s10476-025-00113-5","DOIUrl":"10.1007/s10476-025-00113-5","url":null,"abstract":"<div><p>\u0000We study the higher-order delay differential equation\u0000</p><div><div><span>$$w(z+1)-w(z-1)+a(z)frac{w^{(k)}(z)}{w^2(z)}=R(z,w(z)),$$</span></div></div><p>\u0000where <span>(k)</span> is a positive integer, <span>(a(z))</span> is a rational function and <span>(R(z,w))</span> is rational in <span>(w)</span> with rational coefficients. We obtain necessary conditions on the degree of <span>(R(z, w))</span> for this delay differential equation to admit subnormal transcendental meromorphic solutions. On the other hand, we obtain a reduced form of the equation above when <span>(R(z,w))</span> becomes a rational function.\u0000</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"51 3","pages":"749 - 774"},"PeriodicalIF":0.5,"publicationDate":"2025-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10476-025-00113-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145341220","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
Difference of weighted composition operators on weighted Bergman spaces over the unit ball 单位球上加权Bergman空间上加权复合算子的差分
IF 0.5 3区 数学
Analysis Mathematica Pub Date : 2025-09-10 DOI: 10.1007/s10476-025-00115-3
L. Hu, S. Li, Y. Shi
{"title":"Difference of weighted composition operators on weighted Bergman spaces over the unit ball","authors":"L. Hu,&nbsp;S. Li,&nbsp;Y. Shi","doi":"10.1007/s10476-025-00115-3","DOIUrl":"10.1007/s10476-025-00115-3","url":null,"abstract":"<div><p>The boundedness and compactness of differences of weighted composition operators from weighted Bergman spaces <span>(A^p_omega(mathbb{B}_n))</span> induced by a doubling weight <span>(omega)</span> to Lebesgue spaces <span>(L^q_mu(mathbb{B}_n))</span> are characterized on the unit ball and for the entire range <span>(0&lt;p,q&lt;infty)</span>, which extend many results in the literatures. As a byproduct, a new characterization of <span>(q)</span>-Carleson the measure for <span>(A^p_omega(mathbb{B}_n))</span> in terms of the Bergman metric ball is also presented.</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"51 3","pages":"815 - 841"},"PeriodicalIF":0.5,"publicationDate":"2025-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145341154","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
Hilbert-Schmidt frames and Riesz bases with respect to tensor product of Hilbert spaces Hilbert- schmidt坐标系和Riesz基关于Hilbert空间的张量积
IF 0.5 3区 数学
Analysis Mathematica Pub Date : 2025-09-03 DOI: 10.1007/s10476-025-00103-7
Jyoti, L. K. Vashisht
{"title":"Hilbert-Schmidt frames and Riesz bases with respect to tensor product of Hilbert spaces","authors":"Jyoti,&nbsp;L. K. Vashisht","doi":"10.1007/s10476-025-00103-7","DOIUrl":"10.1007/s10476-025-00103-7","url":null,"abstract":"<div><p>Given separable Hilbert spaces <span>(mathcal{H})</span>, <span>(mathcal{K}_1)</span>, and <span>(mathcal{K}_2)</span>, we analyze Hilbert-Schmidt frames for <span>(mathcal{H})</span> with respect \u0000to the tensor product <span>(mathcal{K}_1 otimes mathcal{K}_2)</span>. First, we give a characterization of Hilbert-Schmidt frames for \u0000<span>(mathcal{H})</span> with respect to <span>({mathcal{K}_1 otimes mathcal{K}_2})</span>. The construction of the Hilbert-Schmidt frames for <span>(mathcal{H})</span> with respect to\u0000 <span>(mathcal{K}_1 otimes mathcal{K}_2)</span> in terms of discrete frames for <span>(mathcal{H})</span> is presented. Sufficient conditions for the existence of Hilbert-Schmidt\u0000 dual frames are given. We give the construction of Hilbert-Schmidt orthonormal bases, and sufficient conditions for the existence of Riesz bases for\u0000 <span>(mathcal{H})</span> with respect to <span>(mathcal{K}_1 otimes mathcal{K}_2)</span>.</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"51 3","pages":"843 - 865"},"PeriodicalIF":0.5,"publicationDate":"2025-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145341247","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
Higher-order delay differential equations with meromorphic solutions 具有亚纯解的高阶时滞微分方程
IF 0.5 3区 数学
Analysis Mathematica Pub Date : 2025-09-03 DOI: 10.1007/s10476-025-00109-1
Y. Liu, W. L. Liu
{"title":"Higher-order delay differential equations with meromorphic solutions","authors":"Y. Liu,&nbsp;W. L. Liu","doi":"10.1007/s10476-025-00109-1","DOIUrl":"10.1007/s10476-025-00109-1","url":null,"abstract":"<div><p>\u0000In this paper, we consider the equation </p><div><div><span>$$overline{y}underline{y}+alpha(x)frac{y^{(d)}}{y^{2}}=R(x,y)=frac{H(x, y)}{G(x, y)},$$</span></div></div><p> where\u0000 <span>(alpha(x))</span> is a nonzero rational, <span>(H(x,y))</span> and <span>(G(x,y))</span> are co-prime polynomials of <span>(y)</span> with rational coefficients. If there exists a non-rational meromorphic solution with <span>(rho_{2}(y)&lt;1 )</span>, then <span>(deg_{y}(H))</span> and <span>(deg_{y}(G))</span> must satisfy certain conditions.\u0000</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"51 3","pages":"885 - 901"},"PeriodicalIF":0.5,"publicationDate":"2025-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10476-025-00109-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145341245","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
Universality of Dirichlet (L)-functions in short intervals Dirichlet (L) -函数在短区间内的普遍性
IF 0.5 3区 数学
Analysis Mathematica Pub Date : 2025-09-03 DOI: 10.1007/s10476-025-00116-2
A. Laurinčikas
{"title":"Universality of Dirichlet (L)-functions in short intervals","authors":"A. Laurinčikas","doi":"10.1007/s10476-025-00116-2","DOIUrl":"10.1007/s10476-025-00116-2","url":null,"abstract":"<div><p>\u0000In this paper, we obtain joint simultaneous approximation of analytic functions defined on the strip <span>({sin mathbb{C}: 1/2&lt; operatorname{Re} s&lt;1})</span> by shifts <span>( { (L(s+itau, chi_1), dots, L(s+itau, chi_r)) } )</span> of Dirichlet <span>(L)</span>-functions with non-equivalent Dirichlet characters in short intervals, i.e., intervals <span>([T,T+H])</span> with <span>(T^{27/82} leq H leq T^{1/2})</span>. It is proved that the set of such approximating shifts has a positive lower density, and even positive density for all but at most countably many approximation accuracies. For the proof, the probabilistic approach is used.\u0000</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"51 3","pages":"867 - 884"},"PeriodicalIF":0.5,"publicationDate":"2025-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145341248","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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