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Fourier coefficients of functions with respect to general othonormal systems from classes ( Lip (alpha)) 关于类中一般正交系统的函数的傅里叶系数 ( Lip (alpha))
IF 0.5 3区 数学
Analysis Mathematica Pub Date : 2025-06-12 DOI: 10.1007/s10476-025-00091-8
B. Golubov, S. Volosivets
{"title":"Fourier coefficients of functions with respect to general othonormal systems from classes ( Lip (alpha))","authors":"B. Golubov,&nbsp;S. Volosivets","doi":"10.1007/s10476-025-00091-8","DOIUrl":"10.1007/s10476-025-00091-8","url":null,"abstract":"<div><p>Let <span>({varphi_n}^infty_{n=1})</span> be a real-valued orthonormal system in <span>(L^2[0,1])</span>, <span>(0&lt;alphaleq 1)</span>, <span>(0&lt;varepsilon&lt;alpha)</span>, and let <span>({c_n(f)}^infty_{n=1})</span> be a sequence of Fourier coefficients of <span>(fin L^2[0,1])</span> with respect to <span>({varphi_n}^infty_{n=1})</span>. We prove a sufficient condition on <span>({varphi_n}^infty_{n=1})</span> such that the series <span>(sum^infty_{k=1}k^{2(alpha-varepsilon)}c^2_k(f))</span> converges for any <span>(fin Lip (alpha))</span>. We check that the trigonometric system and the Haar system satisfy this condition. On the other hand, the condition is not fulfilled in general.\u0000</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"51 2","pages":"515 - 524"},"PeriodicalIF":0.5,"publicationDate":"2025-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145164976","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
Notes on meromorphic functions that share three small functions with their (k)th order derivatives 关于具有(k)阶导数的三个小函数的亚纯函数的注释
IF 0.5 3区 数学
Analysis Mathematica Pub Date : 2025-06-12 DOI: 10.1007/s10476-025-00092-7
X. -H. Huang
{"title":"Notes on meromorphic functions that share three small functions with their (k)th order derivatives","authors":"X. -H. Huang","doi":"10.1007/s10476-025-00092-7","DOIUrl":"10.1007/s10476-025-00092-7","url":null,"abstract":"<div><p>In this paper, we investigate a uniqueness question of transcendental\u0000meromorphic functions sharing three distinct polynomials with their\u0000kth order derivatives, and investigate a uniqueness question of transcendental\u0000meromorphic functions sharing three distinct small functions with their <span>(k)</span>th order\u0000derivatives, where two of the three distinct small functions are two distinct\u0000finite values. The main results obtained in this paper improve the corresponding\u0000results from Mues–Steinmetz [5], Gundersen [4] and Frank–Schwick [6].</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"51 2","pages":"547 - 558"},"PeriodicalIF":0.5,"publicationDate":"2025-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145164969","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
Analogues of Fourier quasicrystals for a strip 条带的傅立叶准晶体的类似物
IF 0.5 3区 数学
Analysis Mathematica Pub Date : 2025-06-12 DOI: 10.1007/s10476-025-00089-2
S. Yu. Favorov
{"title":"Analogues of Fourier quasicrystals for a strip","authors":"S. Yu. Favorov","doi":"10.1007/s10476-025-00089-2","DOIUrl":"10.1007/s10476-025-00089-2","url":null,"abstract":"<div><p>We study a certain family of discrete measures with unit masses\u0000on a horizontal strip as an analogue of Fourier quasicrystals on the real line. We\u0000prove a one-to-one correspondence between supports of measures from this family\u0000and zero sets of exponential polynomials with imaginary frequencies. This result\u0000is the special case of a general result on measures whose supports correspond to\u0000zero sets of absolutely convergent Dirichlet series with bounded spectrum.\u0000</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"51 2","pages":"457 - 475"},"PeriodicalIF":0.5,"publicationDate":"2025-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145164975","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
Tiling Morrey spaces – as a dyadic toy model 平铺Morrey空间-作为一个二元玩具模型
IF 0.5 3区 数学
Analysis Mathematica Pub Date : 2025-06-12 DOI: 10.1007/s10476-025-00094-5
Y. Sawano, H. Tanaka
{"title":"Tiling Morrey spaces – as a dyadic toy model","authors":"Y. Sawano,&nbsp;H. Tanaka","doi":"10.1007/s10476-025-00094-5","DOIUrl":"10.1007/s10476-025-00094-5","url":null,"abstract":"<div><p>The goal of this paper is to introduce tiling Morrey spaces and their weighted counterparts. A condition under which weights ensure the boundedness of important operators is established. Weights similar to the Muckenhoupt class <span>(A_p)</span> within Morrey spaces are dealt with. \u0000 Additionally, a full characterization of the weights for which two-weight norm inequalities for linear positive operators hold in these spaces is given. Then new class dealt with in this paper contains the one introduced recently by Lerner.</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"51 2","pages":"667 - 685"},"PeriodicalIF":0.5,"publicationDate":"2025-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145164971","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
Generalized Saphar decomposition of certain subclasses of generalized Drazin invertible linear relations 广义Drazin可逆线性关系某些子类的广义Saphar分解
IF 0.5 3区 数学
Analysis Mathematica Pub Date : 2025-06-11 DOI: 10.1007/s10476-025-00075-8
T. Álvarez, Y. Chamkha
{"title":"Generalized Saphar decomposition of certain subclasses of generalized Drazin invertible linear relations","authors":"T. Álvarez,&nbsp;Y. Chamkha","doi":"10.1007/s10476-025-00075-8","DOIUrl":"10.1007/s10476-025-00075-8","url":null,"abstract":"<div><p>For a Banach space, the notions of essentially left and right generalized Drazin invertible linear relations are introduced and studied. Then, characterizations of these classes by means of their generalized Saphar decompositions, accumulation and interior points of various spectra are given. Furthermore, sufficient conditions under which an essentially left (resp. right) generalized Drazin invertible linear relation be left (resp. right) Weyl generalized Drazin invertible are provided. In particular, we show that an everywhere defined closed linear relation with a nonempty resolvent set which has the SVEP at <span>(0)</span> (resp. its adjoint has the SVEP at <span>(0)</span>) is essentially left (resp. right) generalized Drazin invertible if and only if it is left (resp. right) Weyl generalized Drazin invertible. The corresponding spectra of such classes are also investigated and concrete examples are illustrated.\u0000</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"51 2","pages":"363 - 388"},"PeriodicalIF":0.5,"publicationDate":"2025-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145163819","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
Weakly compact multipliers for some quantum group algebras 某些量子群代数的弱紧乘子
IF 0.5 3区 数学
Analysis Mathematica Pub Date : 2025-06-04 DOI: 10.1007/s10476-025-00076-7
M. Nemati, R. Esmailvandi, A. Ebrahimzadeh Esfahani
{"title":"Weakly compact multipliers for some quantum group algebras","authors":"M. Nemati,&nbsp;R. Esmailvandi,&nbsp;A. Ebrahimzadeh Esfahani","doi":"10.1007/s10476-025-00076-7","DOIUrl":"10.1007/s10476-025-00076-7","url":null,"abstract":"<div><p>Let <span>(mathbb{G})</span> be a locally compact quantum group. We study the\u0000existence of certain (weakly) compact right and left multipliers of the Banach al-\u0000gebra <span>(mathfrak{X} ^{*} )</span>, where <span>(mathfrak{X} )</span> is an introverted subspace of <span>(L^infty(mathbb{G}))</span> with some conditions, and\u0000relate them with some properties of <span>(mathbb{G})</span> such as compactness and amenability. For\u0000example, when <span>(mathbb{G})</span> is co-amenable and <span>(L^1(mathbb{G}))</span> is semisimple we give a characteri-\u0000zation for compactness of <span>(mathbb{G})</span> in terms of the existence of a nonzero compact right\u0000multiplier on <span>(mathfrak{X} ^{*} )</span>. Using this, for a locally compact group <span>({mathcal G})</span> we prove that <span>(mathbb{G}_a)</span> is\u0000compact if and only if there is a nonzero (weakly) compact right multiplier on <span>(mathfrak{X} ^{*} )</span>.\u0000Similar assertion holds for <span>(mathbb{G}_s)</span> when <span>({mathcal G})</span> is amenable.\u0000</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"51 2","pages":"587 - 603"},"PeriodicalIF":0.5,"publicationDate":"2025-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145162016","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
Weighted anisotropic local Hardy spaces 加权各向异性局部Hardy空间
IF 0.5 3区 数学
Analysis Mathematica Pub Date : 2025-06-04 DOI: 10.1007/s10476-025-00077-6
Y. He
{"title":"Weighted anisotropic local Hardy spaces","authors":"Y. He","doi":"10.1007/s10476-025-00077-6","DOIUrl":"10.1007/s10476-025-00077-6","url":null,"abstract":"<div><p>In this paper, we introduce the weighted anisotropic local Hardy spaces <span>(h_{w, N}^p(mathbb{R}^n ; A))</span> with <span>(pin(0,1] )</span>, via the local non-tangential grand maximal function. We also\u0000establish the atomic decompositions for the weighted anisotropic local Hardy spaces <span>(h_{w, N}^p(mathbb{R}^n ; A))</span>. In addition, we obtain the duality between <span>(h_{w, N}^p(mathbb{R}^n ; A))</span> and the weighted anisotropic Campanato type spaces.</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"51 2","pages":"525 - 545"},"PeriodicalIF":0.5,"publicationDate":"2025-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145162015","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
Propagation of algebraic dependence and its applications 代数相关性的传播及其应用
IF 0.5 3区 数学
Analysis Mathematica Pub Date : 2025-06-04 DOI: 10.1007/s10476-025-00085-6
M. Liu, X. Dong
{"title":"Propagation of algebraic dependence and its applications","authors":"M. Liu,&nbsp;X. Dong","doi":"10.1007/s10476-025-00085-6","DOIUrl":"10.1007/s10476-025-00085-6","url":null,"abstract":"<div><p>We establish a criteria for the propagation of algebraic dependence of a set of differentiably non-degenerate meromorphic mappings from a complete and stochastically complete Kähler manifold <i>M</i> into a complex projective manifold, based on certain diffusion method. As its applications, we also consider the unicity problems for differentiably non-degenerate meromorphic mappings of <i>M</i> into a complex projective space in Nevanlinna theory. \u0000</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"51 2","pages":"559 - 575"},"PeriodicalIF":0.5,"publicationDate":"2025-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145161601","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
(L_prightarrow L_q) boundedness of Fourier multipliers (L_prightarrow L_q) 傅里叶乘数的有界性
IF 0.5 3区 数学
Analysis Mathematica Pub Date : 2025-06-04 DOI: 10.1007/s10476-025-00078-5
M. Nursultanov
{"title":"(L_prightarrow L_q) boundedness of Fourier multipliers","authors":"M. Nursultanov","doi":"10.1007/s10476-025-00078-5","DOIUrl":"10.1007/s10476-025-00078-5","url":null,"abstract":"<div><p>This paper explores the boundedness of Fourier multipliers from \u0000<span>(L_p)</span> to <span>(L_q)</span>. We present new results that improve upon classical theorems due to Hörmander, Lizorkin, and Marcinkiewicz. In addition, we provide necessary conditions for the boundedness of Fourier multipliers. We introduce the concept of <span>(M)</span>-generalized monotone functions and sequences and derive criteria for the boundedness of Fourier multipliers corresponding to them.</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"51 2","pages":"605 - 634"},"PeriodicalIF":0.5,"publicationDate":"2025-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10476-025-00078-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145161602","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
Monotonicity properties of classical functions and their q-analogues 经典函数及其q-类似函数的单调性
IF 0.5 3区 数学
Analysis Mathematica Pub Date : 2025-06-04 DOI: 10.1007/s10476-025-00084-7
M. Bouali
{"title":"Monotonicity properties of classical functions and their q-analogues","authors":"M. Bouali","doi":"10.1007/s10476-025-00084-7","DOIUrl":"10.1007/s10476-025-00084-7","url":null,"abstract":"<div><p>We prove some new results and unify old ones on the complete monotonicity of functions including the gamma and digamma functions and their <i>q</i>-analogues. All of these results lead to new and interesting inequalities. Of particular interest, we obtain the following results:\u0000for all <span>(q&gt;0)</span>, <span>(qneq 1)</span>, <span>(x&gt;0)</span> and <span>(nin mathbb{N})</span>, we have\u0000</p><div><div><span>$$begin{aligned}logbig(frac{1-q^x}{1-q}big)- frac14frac{3q^x+1}{q^x-1}log qleqpsi_q(x)\u0000leqlogbig(frac{1-q^x}{1-q}big)-frac{1}2 frac{q^x}{q^x-1}log q, \u0000q^xbig(frac{log q}{q^x-1}big)^nP_{n-2}(q^x)+frac12q^xbig(frac{log q}{q^x-1}big)^{n+1}P_{n-1}(q^x)leq(-1)^{n+1}psi^{(n)}_q(x)\u0000 le q^xbig(frac{log q}{q^x-1}big)^nP_{n-2}(q^x)+q^xbig(frac{log q}{q^x-1}big)^{n+1}P_{n-1}(q^x).end{aligned}$$</span></div></div><p>\u0000where <span>(P_n(x))</span> is some polynomial of degree <i>n</i> to be defined later.</p><p>These inequalities are the <i>q</i>-analogues of the classical inequalities\u0000</p><div><div><span>$$frac1{2x}leqlog x-psi(x)leqfrac1{x},$$</span></div></div><p>\u0000and\u0000</p><div><div><span>$$frac{(n-1)!}{x^{n}}+frac{n!}{2x^{n+1}}leq (-1)^{n+1}psi^{(n)}(x)leqfrac{(n-1)!}{x^{n}}+frac{n!}{x^{n+1}},quad \u0000ngeq1, x&gt;0.$$</span></div></div></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"51 2","pages":"389 - 422"},"PeriodicalIF":0.5,"publicationDate":"2025-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145161629","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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