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Approximation by a special de la Vallée Poussin type matrix transform mean of Vilenkin–Fourier series 维伦金-傅里叶级数的特殊德瓦雷-普桑型矩阵变换均值近似法
IF 0.7 3区 数学
Analysis Mathematica Pub Date : 2024-09-16 DOI: 10.1007/s10476-024-00049-2
I. Blahota, D. Nagy
{"title":"Approximation by a special de la Vallée Poussin type matrix transform mean of Vilenkin–Fourier series","authors":"I. Blahota, D. Nagy","doi":"10.1007/s10476-024-00049-2","DOIUrl":"https://doi.org/10.1007/s10476-024-00049-2","url":null,"abstract":"<p>We consider the norm convergence for a special matrix-based de la Vallée Poussin-like mean of Fourier series with respect to the Vilenkin system. We estimate the difference between the named mean above and the corresponding function in norm, and the upper estimation is given by the modulus of continuity of the function. We also give theorems with respect to norm and almost everywhere convergences.</p>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142264977","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
Value cross-sharing problems on meromorphic functions 分形函数的值交叉共享问题
IF 0.7 3区 数学
Analysis Mathematica Pub Date : 2024-09-16 DOI: 10.1007/s10476-024-00051-8
Y. C. Gao, K. Liu, F. N. Wang
{"title":"Value cross-sharing problems on meromorphic functions","authors":"Y. C. Gao, K. Liu, F. N. Wang","doi":"10.1007/s10476-024-00051-8","DOIUrl":"https://doi.org/10.1007/s10476-024-00051-8","url":null,"abstract":"<p>In this paper, we continue to consider the value cross-sharing problems on meromorphic functions. We mainly present some results and improvements on <span>(f(z))</span> and <span>(g(z))</span> provided that <span>(f(z))</span> and <span>(g^{(k)}(z))</span> share common values together with <span>(g(z))</span> and <span>(f^{(k)}(z))</span> share the same or different common values CM or IM, where <span>(f(z), g(z))</span> are meromorphic functions and <span>(k)</span> is a positive integer. With additional conditions on deficiency, we get more accurate relations on <span>(f(z))</span> and <span>(g(z))</span> when <span>(f(z))</span> and <span>(g^{(k)}(z))</span> share a CM together with <span>(g(z))</span> and <span>(f^{(k)}(z))</span> share <i>b</i> CM, where <i>a</i>, <i>b</i> are constants.</p>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142264975","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
Large dilates of hypercube graphs in the plane 平面超立方体图的大扩张
IF 0.7 3区 数学
Analysis Mathematica Pub Date : 2024-09-15 DOI: 10.1007/s10476-024-00045-6
V. Kovač, B. Predojević
{"title":"Large dilates of hypercube graphs in the plane","authors":"V. Kovač, B. Predojević","doi":"10.1007/s10476-024-00045-6","DOIUrl":"https://doi.org/10.1007/s10476-024-00045-6","url":null,"abstract":"<p>We study a distance graph <span>(Gamma_n)</span> that is isomorphic to the <span>(1)</span>-skeleton of an <span>(n)</span>-dimensional unit hypercube. We show that every measurable set of positive upper Banach density in the plane contains all sufficiently large dilates of <span>(Gamma_n)</span>. This provides the first examples of distance graphs other than the trees for which a dimensionally sharp embedding in positive density sets is known.</p>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142264970","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
Decomposable operators acting between distinct $$L^p$$ -direct integrals of Banach spaces 作用于巴拿赫空间不同 $$L^p$$ 直接积分之间的可分解算子
IF 0.7 3区 数学
Analysis Mathematica Pub Date : 2024-09-15 DOI: 10.1007/s10476-024-00044-7
N. Evseev, A. Menovschikov
{"title":"Decomposable operators acting between distinct $$L^p$$ -direct integrals of Banach spaces","authors":"N. Evseev, A. Menovschikov","doi":"10.1007/s10476-024-00044-7","DOIUrl":"https://doi.org/10.1007/s10476-024-00044-7","url":null,"abstract":"<p>The notion of decomposable operators acting between distinct <span>(L^p)</span>-direct integrals of Banach spaces is introduced. We show that these operators generalize the composition operator in the sense that a binary relation replaces a mapping. The necessary and sufficient conditions for the boundedness of those operators are the main results of the paper.</p>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142264971","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
An asymptotic equality of Cartan's Second Main Theorem and some generalizations 卡坦第二主定理的渐进相等性和一些概论
IF 0.7 3区 数学
Analysis Mathematica Pub Date : 2024-09-15 DOI: 10.1007/s10476-024-00043-8
Y. Chen
{"title":"An asymptotic equality of Cartan's Second Main Theorem and some generalizations","authors":"Y. Chen","doi":"10.1007/s10476-024-00043-8","DOIUrl":"https://doi.org/10.1007/s10476-024-00043-8","url":null,"abstract":"<p>Motivated by [19] and [10], we define the modified proximity function <span>(overline{m}_{q}(f,r))</span> for entire curves in complex projective space <span>(mathbf{P}^nmathbf{C})</span>, and establish an asymptotic equality of Cartan's Second Main Theorem. This is a generalization of [19, Theorem 1.6] for transcendental meromorphic functions. Moreover, we strengthen the result to entire curves of finite order and holomorphic mappings over multiple variables.\u0000</p>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142264976","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 the inequalities of Zygmund and de Bruijn 关于齐格蒙德和德布鲁因的不等式
IF 0.7 3区 数学
Analysis Mathematica Pub Date : 2024-09-15 DOI: 10.1007/s10476-024-00048-3
R. R. Akopyan, P. Kumar, G. V. Milovanović
{"title":"On the inequalities of Zygmund and de Bruijn","authors":"R. R. Akopyan, P. Kumar, G. V. Milovanović","doi":"10.1007/s10476-024-00048-3","DOIUrl":"https://doi.org/10.1007/s10476-024-00048-3","url":null,"abstract":"<p>For the polar derivative <span>(D_alpha P(z) =nP(z)+(alpha-z)P'(z))</span> of a polynomial <span>(P(z))</span> of degree <i>n</i>, most of the <span>(L^p)</span> inequalities available in the literature are for restricted values of <span>(alpha)</span>, and in this paper we extend few such fundamental results to all of <span>(alpha)</span> in the complex plane.</p>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142264973","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 strong extension groups of Cuntz–Krieger algebras 论 Cuntz-Krieger 对象的强扩展群
IF 0.7 3区 数学
Analysis Mathematica Pub Date : 2024-09-15 DOI: 10.1007/s10476-024-00046-5
K. Matsumoto
{"title":"On strong extension groups of Cuntz–Krieger algebras","authors":"K. Matsumoto","doi":"10.1007/s10476-024-00046-5","DOIUrl":"https://doi.org/10.1007/s10476-024-00046-5","url":null,"abstract":"<p>In this paper, we study the strong extension groups of Cuntz–Krieger algebras, and present a formula to compute the groups. We also detect the position of the Toeplitz extension of a Cuntz–Krieger algebra in the strong extension group and in the weak extension group to see that the weak extension group with the position of the Toeplitz extension is a complete invariant of the isomorphism class of the Cuntz–Krieger algebra associated with its transposed matrix.</p>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142269197","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 the hyperbolic group and subordinated integrals as operators on sequence Banach spaces 论序列巴拿赫空间上作为算子的双曲群和次积分
IF 0.7 3区 数学
Analysis Mathematica Pub Date : 2024-09-15 DOI: 10.1007/s10476-024-00047-4
L. Abadias, J. E. Galé, P. J. Miana, J. Oliva-Maza
{"title":"On the hyperbolic group and subordinated integrals as operators on sequence Banach spaces","authors":"L. Abadias, J. E. Galé, P. J. Miana, J. Oliva-Maza","doi":"10.1007/s10476-024-00047-4","DOIUrl":"https://doi.org/10.1007/s10476-024-00047-4","url":null,"abstract":"<p>We show that the composition hyperbolic group in the unit disc, once transferred to act on sequence spaces, is bounded on <span>(ell^p)</span> if and only if <span>({p=2})</span>. We introduce some integral operators subordinated to that group which are natural generalizations of classical operators on sequences. For the description of such operators, we use some combinatorial identities which look interesting in their own.</p>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142264974","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
Rich lattices of multiplier topologies 丰富的乘法拓扑网格
IF 0.7 3区 数学
Analysis Mathematica Pub Date : 2024-09-15 DOI: 10.1007/s10476-024-00050-9
A. Chirvasitu
{"title":"Rich lattices of multiplier topologies","authors":"A. Chirvasitu","doi":"10.1007/s10476-024-00050-9","DOIUrl":"https://doi.org/10.1007/s10476-024-00050-9","url":null,"abstract":"<p>Each symmetrically-normed ideal <span>(mathcal{I})</span> of compact operators on a Hilbert space <span>(H)</span> induces a multiplier topology <span>(mu^*_{mathcal{I}})</span> on the algebra <span>(mathcal{B}(H))</span> of bounded operators. We show that under fairly reasonable circumstances those topologies precisely reflect, strength-wise, the inclusion relations between the corresponding ideals, including the fact that the topologies are distinct when the ideals are.</p><p>Said circumstances apply, for instance, for the two-parameter chain of Lorentz ideals <span>(mathcal{L}^{p,q})</span> interpolating between the ideals of trace-class and compact operators. This gives a totally ordered chain of distinct topologies <span>(mu^*_{p,qmid 0})</span> on <span>(mathcal{B}(H))</span>, with <span>(mu^*_{2,2mid 0})</span> being the <span>(sigma mbox{-}strong^*)</span> topology and <span>(mu^*_{infty,inftymid 0})</span> the strict/Mackey topology. In particular, the latter are only two of a natural continuous family. </p>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142264969","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
Global Stein theorem on Hardy spaces 哈代空间上的全局斯坦因定理
IF 0.7 3区 数学
Analysis Mathematica Pub Date : 2024-09-05 DOI: 10.1007/s10476-024-00003-2
A. Bonami, S. Grellier, B. F. Sehba
{"title":"Global Stein theorem on Hardy spaces","authors":"A. Bonami, S. Grellier, B. F. Sehba","doi":"10.1007/s10476-024-00003-2","DOIUrl":"https://doi.org/10.1007/s10476-024-00003-2","url":null,"abstract":"<p>Let <span>(f)</span> be an integrable function which has integral <span>(0)</span> on <span>(mathbb{R}^n )</span>.\u0000What is the largest condition on <span>(|f|)</span> that guarantees that <span>(f)</span> is in the Hardy space\u0000<span>(mathcal{H}^1(mathbb{R}^n))</span>? When <span>(f)</span> is compactly supported, it is well-known that the largest condition\u0000on <span>(|f|)</span> is the fact that <span>(|f|in L log L(mathbb{R}^n) )</span>. We consider the same kind of\u0000problem here, but without any condition on the support. We do so for <span>(mathcal{H}^1(mathbb{R}^n))</span>,\u0000as well as for the Hardy space <span>(mathcal{H}_{log}(mathbb{R}^n))</span> which appears in the study of pointwise\u0000products of functions in <span>(mathcal{H}^1(mathbb{R}^n))</span> and in its dual BMO.</p>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140197506","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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