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Acta Mathematica Hungarica最新文献

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Measure transport via pseudo-cones 通过伪锥测量运输
IF 0.6 3区 数学
Acta Mathematica Hungarica Pub Date : 2026-01-31 DOI: 10.1007/s10474-026-01584-0
R. Schneider
{"title":"Measure transport via pseudo-cones","authors":"R. Schneider","doi":"10.1007/s10474-026-01584-0","DOIUrl":"10.1007/s10474-026-01584-0","url":null,"abstract":"<div><p>For the solution of the Gauss image problem for pseudo-cones, which can be considered as a measure transport problem for certain measures on the sphere, we give a new proof, using a special case of Kantorovich duality.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"177 2","pages":"492 - 500"},"PeriodicalIF":0.6,"publicationDate":"2026-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10474-026-01584-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147682816","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 Orlicz chord Minkowski problem for polytopes 多面体的Orlicz弦Minkowski问题
IF 0.6 3区 数学
Acta Mathematica Hungarica Pub Date : 2026-01-30 DOI: 10.1007/s10474-026-01586-y
W. Chen, H. Jin, S. Li
{"title":"The Orlicz chord Minkowski problem for polytopes","authors":"W. Chen,&nbsp;H. Jin,&nbsp;S. Li","doi":"10.1007/s10474-026-01586-y","DOIUrl":"10.1007/s10474-026-01586-y","url":null,"abstract":"<div><p>In this paper, we study the Orlicz chord Minkowski problem in the case that the Orlicz function <span>(varphicolon (0,infty)to(0,infty))</span> is a continuously differentiable, strictly increasing convex function. The existence of the discrete Orlicz chord Minkowski problem is proved, which is an extension of the discrete <span>(L_p (p&lt;0))</span> chord Minkowski problem.\u0000</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"177 2","pages":"525 - 540"},"PeriodicalIF":0.6,"publicationDate":"2026-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147682793","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
Nilpotent locally compact groups with small topological entropy 具有小拓扑熵的幂零局部紧群
IF 0.6 3区 数学
Acta Mathematica Hungarica Pub Date : 2026-01-30 DOI: 10.1007/s10474-026-01583-1
F. G. Russo, O. Waka
{"title":"Nilpotent locally compact groups with small topological entropy","authors":"F. G. Russo,&nbsp;O. Waka","doi":"10.1007/s10474-026-01583-1","DOIUrl":"10.1007/s10474-026-01583-1","url":null,"abstract":"<div><p>We characterize the finiteness of the topological entropy of continuous automorphisms of locally compact nilpotent <i>p</i>-groups (<i>p</i> prime) via the notion of <i>p</i>-rank. Considering upper unitriangular matrices over the <i>p</i>-adic integers and <i>p</i>-adic rationals, we present an algorithmic criterion in order to produce nilpotent locally compact <i>p</i>-groups of large nilpotency class and with continuous automorphisms of finite topological entropy. The procedure allows us to generalize the construction of large families of totally disconnected locally compact Heisenberg <i>p</i>-groups. It should be also mentioned that alternative arguments have been proposed, in order to avoid the use of the <i>p</i>-rank for the finiteness of the topological entropy of the continuous automorphisms, but these arguments involve the notion of topologically capable group, which wasn't explored for locally compact groups (except for the discrete case).</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"177 2","pages":"464 - 491"},"PeriodicalIF":0.6,"publicationDate":"2026-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147682815","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
Optimal horoball packing densities for Koszul-type tilings in hyperbolic 3-space 双曲三维空间koszul型瓷砖的最佳球状填充密度
IF 0.6 3区 数学
Acta Mathematica Hungarica Pub Date : 2026-01-29 DOI: 10.1007/s10474-026-01581-3
Kozma R. T., Szirmai J.
{"title":"Optimal horoball packing densities for Koszul-type tilings in hyperbolic 3-space","authors":"Kozma R. T.,&nbsp;Szirmai J.","doi":"10.1007/s10474-026-01581-3","DOIUrl":"10.1007/s10474-026-01581-3","url":null,"abstract":"<div><p>We determine the optimal horoball packing densities for Koszul-type Coxeter simplex tilings in hyperbolic 3-space. Using a parametrization of horoballs by the Busemann function and the symmetry of the tilings, we obtain families of packings that attain the universal simplicial density upper bound\u0000</p><div><div><span>$$d_3(infty) = big( 2 sqrt{3} Lambdabig(tfrac{pi}{3}big) ! big)^{-1} approx 0.853276,$$</span></div></div><p>\u0000where <span>(Lambda)</span> denotes the Lobachevsky function. These results show that extremal packing densities in <span>(mathbb{H}^3)</span> are realized by multiple explicit Coxeter tilings and are closely tied to special values of <i>L</i>-functions and hyperbolic manifold volumes.\u0000</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"177 2","pages":"419 - 449"},"PeriodicalIF":0.6,"publicationDate":"2026-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10474-026-01581-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147682798","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
Commutator estimates for vector fields on weighted Besov and Triebel–Lizorkin spaces with variable smoothness and integrability 变光滑可积的加权Besov和triiebel - lizorkin空间上向量场的交换子估计
IF 0.6 3区 数学
Acta Mathematica Hungarica Pub Date : 2026-01-29 DOI: 10.1007/s10474-026-01585-z
S. Wang, P. Guo, J. Xu
{"title":"Commutator estimates for vector fields on weighted Besov and Triebel–Lizorkin spaces with variable smoothness and integrability","authors":"S. Wang,&nbsp;P. Guo,&nbsp;J. Xu","doi":"10.1007/s10474-026-01585-z","DOIUrl":"10.1007/s10474-026-01585-z","url":null,"abstract":"<div><p>Let <span>(V)</span> be a smooth vector field on \u0000<span>(mathbb{R}^n)</span> whose divergence is non-vanishing.\u0000Let <span>({Delta_j}_{j in mathbb{Z}})</span> be a family of Littlewood–Paley operators.We obtain bilinear estimates for commutators of <span>(V)</span> and \u0000<span>(Delta_j)</span> on weighted Besov and Triebel–Lizorkin spaces with variable smoothness and integrability.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"177 2","pages":"501 - 524"},"PeriodicalIF":0.6,"publicationDate":"2026-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147682726","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
Sharp bounds for sets with distinct subset products 具有不同子集积的集合的锐利界
IF 0.6 3区 数学
Acta Mathematica Hungarica Pub Date : 2025-12-25 DOI: 10.1007/s10474-025-01578-4
R. Raghavan
{"title":"Sharp bounds for sets with distinct subset products","authors":"R. Raghavan","doi":"10.1007/s10474-025-01578-4","DOIUrl":"10.1007/s10474-025-01578-4","url":null,"abstract":"<div><p>Let <span>(Asubseteq [N])</span> be such that for any pair of distinct subsets <span>(B,Csubseteq A)</span>, the products <span>(prod_{bin B}b)</span> and <span>(prod_{cin C}c)</span> are distinct. We prove that <span>(|A|leq pi(N)+pi(N^{1/2})+o(pi(N^{1/2})))</span>, where <span>(pi)</span> is the prime counting function, answering a question of Erdős.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"177 2","pages":"363 - 377"},"PeriodicalIF":0.6,"publicationDate":"2025-12-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10474-025-01578-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147682796","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
On (mu)-sliding window statistical convergence of generalized fractional difference sequences in intuitionistic fuzzy normed spaces 直觉模糊赋范空间中广义分数阶差分序列的(mu) -滑动窗口统计收敛性
IF 0.6 3区 数学
Acta Mathematica Hungarica Pub Date : 2025-12-24 DOI: 10.1007/s10474-025-01580-w
SK Ashadul Rahaman, M. Mursaleen, T. Tanushri
{"title":"On (mu)-sliding window statistical convergence of generalized fractional difference sequences in intuitionistic fuzzy normed spaces","authors":"SK Ashadul Rahaman,&nbsp;M. Mursaleen,&nbsp;T. Tanushri","doi":"10.1007/s10474-025-01580-w","DOIUrl":"10.1007/s10474-025-01580-w","url":null,"abstract":"<div><p>In this paper, we focus on the notion of sliding window statistical convergence of generalized fractional difference sequences by introducing the <span>(Delta^{a,b,c}_{_{varrho, vartheta}}(mu))</span>-convergence, which extends classical notions of convergence of fractional difference sequences to accommodate the unique characteristics of intuitionistic fuzzy metrics. We aim to bridge the gap between traditional convergence concepts and their statistical counterparts by establishing a framework for analyzing sequence convergence under this new definition. Our exploration examines the relationships between various types of convergence, including the effects of scalar multiplication and sequence addition, while addressing the uniqueness of limits in the context of sliding window statistical convergence and the conditions governing these relationships.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"177 2","pages":"395 - 418"},"PeriodicalIF":0.6,"publicationDate":"2025-12-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147682814","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 homeomorphisms and composition operators on homogeneous Lie groups 齐次李群上的Sobolev同胚和复合算子
IF 0.6 3区 数学
Acta Mathematica Hungarica Pub Date : 2025-12-23 DOI: 10.1007/s10474-025-01579-3
A. Ukhlov
{"title":"Sobolev homeomorphisms and composition operators on homogeneous Lie groups","authors":"A. Ukhlov","doi":"10.1007/s10474-025-01579-3","DOIUrl":"10.1007/s10474-025-01579-3","url":null,"abstract":"<div><p>In this article, we study Sobolev homeomorphisms and composition operators on homogeneous Lie groups. We prove that a measurable homeomorphism <span>(varphi colon Omega towidetilde{Omega})</span> belongs to the Sobolev space <span>(L^{1}_{q}(Omega; widetilde{Omega}))</span>, <span>(1leq q &lt; infty)</span>, if and only if <span>(varphi)</span> generates a bounded composition operator on Sobolev spaces.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"177 2","pages":"378 - 394"},"PeriodicalIF":0.6,"publicationDate":"2025-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10474-025-01579-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147682797","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
A necessary condition for (2pq) to be a congruent number (2pq)是全等数的必要条件
IF 0.6 3区 数学
Acta Mathematica Hungarica Pub Date : 2025-12-22 DOI: 10.1007/s10474-025-01576-6
S. Das
{"title":"A necessary condition for (2pq) to be a congruent number","authors":"S. Das","doi":"10.1007/s10474-025-01576-6","DOIUrl":"10.1007/s10474-025-01576-6","url":null,"abstract":"<div><p>In this article, we derive a necessary condition for a number of the form <i>n = </i><span>(2pq)</span>, where <i>p</i> and <i>q</i> are distinct prime numbers satisfying <span>((p, q) equiv (1, 5) pmod{8})</span>, to be a congruent number. Specifically, we obtain congruence relations involving the 2-part of the class number of the imaginary quadratic field <span>(mathbb{Q}(sqrt{-pq}))</span>, which must hold whenever <i>n</i> is congruent.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"177 2","pages":"339 - 350"},"PeriodicalIF":0.6,"publicationDate":"2025-12-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147682795","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 sets with missing differences in compact abelian groups 紧阿贝尔群中缺失差的集合
IF 0.6 3区 数学
Acta Mathematica Hungarica Pub Date : 2025-12-22 DOI: 10.1007/s10474-025-01574-8
P. Candela, F. Chamizo, A. Córdoba
{"title":"On sets with missing differences in compact abelian groups","authors":"P. Candela,&nbsp;F. Chamizo,&nbsp;A. Córdoba","doi":"10.1007/s10474-025-01574-8","DOIUrl":"10.1007/s10474-025-01574-8","url":null,"abstract":"<div><p>A much-studied problem posed by Motzkin asks to determine, given a finite set <span>(D)</span> of integers, the so-called <i>Motzkin density</i> for <span>(D)</span>, i.e., the supremum of upper densities of sets of integers whose difference set avoids <span>(D)</span>. We study the natural analogue of this problem in compact abelian groups. Using ergodic-theoretic tools, this is shown to be equivalent to the following discrete problem: given a lattice <span>(Lambdasubset {Z}^r)</span>, letting <span>(D)</span> be the image in <span>({Z}^r/Lambda)</span> of the standard basis, determine the Motzkin density for <span>(D)</span> in <span>({Z}^r/Lambda)</span>. We study in particular the periodicity question: is there a periodic <span>(D)</span>-avoiding set of maximal density in <span>({Z}^r/Lambda)</span>? The Greenfeld-Tao counterexample to the periodic tiling conjecture implies that the answer can be negative. On the other hand, we prove that the answer is positive in several cases, including the case <span>( rank (Lambda)=1)</span> (in which we give a formula for the Motzkin density), the case <span>( rank (Lambda)=r-1)</span>, and hence also the case <span>(rleq 3)</span>. It follows that, for up to three missing differences, the Motzkin density in a compact abelian group is always a rational number.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"177 2","pages":"297 - 325"},"PeriodicalIF":0.6,"publicationDate":"2025-12-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147682794","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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