Tomasz Goliński, Grzegorz Jakimowicz, Aneta Sliżewska
{"title":"Banach Lie groupoid of partial isometries over the restricted Grassmannian","authors":"Tomasz Goliński, Grzegorz Jakimowicz, Aneta Sliżewska","doi":"10.1007/s13324-025-01028-y","DOIUrl":"10.1007/s13324-025-01028-y","url":null,"abstract":"<div><p>The set of partial isometries in a <span>(W^*)</span>-algebra possesses a structure of Banach Lie groupoid. In this paper, the differential structure on the set of partial isometries over the restricted Grassmannian is constructed, which makes it into a Banach Lie groupoid.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 2","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143361936","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}
{"title":"Lipschitz shadowing for contracting/expanding dynamics on average","authors":"Lucas Backes, Davor Dragičević","doi":"10.1007/s13324-025-01022-4","DOIUrl":"10.1007/s13324-025-01022-4","url":null,"abstract":"<div><p>We prove that Lipschitz perturbations of nonautonomous contracting or expanding linear dynamics are Lipschitz shadowable provided that the Lipschitz constants are small on average. This is in sharp contrast with previous results where the Lipschitz constants are assumed to be uniformly small. Moreover, we show by means of an example that a natural extension of these results to the context of linear dynamics admitting an exponential dichotomy does not hold in general.\u0000</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 2","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143361841","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}
{"title":"Non-invariant infinitely connected cycle of Baker domains","authors":"Janina Kotus, Marco Montes de Oca Balderas","doi":"10.1007/s13324-025-01021-5","DOIUrl":"10.1007/s13324-025-01021-5","url":null,"abstract":"<div><p>We give the first example of a non-invariant cycle of Baker domains of infinite connectivity for non-entire meromorphic functions. We also prove the necessary and sufficient condition for a cycle of Baker domains to be infinitely connected in terms of critical points for the family <span>(f(z)=lambda e^z+frac{mu }{z})</span>, where <span>(lambda )</span> and <span>(mu )</span> are defined in the paper.\u0000</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 2","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143361935","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}
{"title":"New fractional type weights and the boundedness of some operators","authors":"Xi Cen, Qianjun He, Zichen Song, Zihan Wang","doi":"10.1007/s13324-025-01027-z","DOIUrl":"10.1007/s13324-025-01027-z","url":null,"abstract":"<div><p>Two classes of fractional type variable weights are established in this paper. The first kind of weights <span>({A_{vec { p}( cdot ),q( cdot )}})</span> are variable multiple weights, which are characterized by the weighted variable boundedness of multilinear fractional type operators, called multilinear Hardy–Littlewood–Sobolev theorem on weighted variable Lebesgue spaces. Meanwhile, the weighted variable boundedness for the commutators of multilinear fractional type operators are also obtained. This generalizes some known work, such as Moen (Collect Math 60(2):213–238, 2009), Bernardis et al. (Ann Acad Sci Fenn-M 39:23–50, 2014), and Cruz-Uribe and Guzmán (Publ Mat 64(2):453–498, 2020). Another class of weights <span>({{mathbb {A}}_{p( cdot ),q(cdot )}})</span> are variable matrix weights that also characterized by certain fractional type operators. This generalize some previous results on matrix weights <span>({{mathbb {A}}_{p( cdot )}})</span>.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 2","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143361877","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}
{"title":"On classical orthogonal polynomials on bi-lattices","authors":"K. Castillo, G. Filipuk, D. Mbouna","doi":"10.1007/s13324-025-01023-3","DOIUrl":"10.1007/s13324-025-01023-3","url":null,"abstract":"<div><p>In Vinet and Zhedanov (J Phys A Math Theor 45:265304, 2012), while looking for spin chains that admit perfect state transfer, Vinet and Zhedanov found an apparently new sequence of orthogonal polynomials, that they called para-Krawtchouk polynomials, defined on a bilinear lattice. In this note we present necessary and sufficient conditions for the regularity of solutions of the corresponding functional equation. Moreover, the functional Rodrigues formula and a closed formula for the recurrence coefficients are presented. As a consequence, we characterize all solutions of the functional equation, including as very particular cases the Meixner, Charlier, Krawtchouk, Hahn, and para-Krawtchouk polynomials.\u0000</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 2","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143108385","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}
{"title":"Generalized Riesz potential operators on Musielak–Orlicz–Morrey spaces over unbounded metric measure spaces","authors":"Takao Ohno, Tetsu Shimomura","doi":"10.1007/s13324-025-01020-6","DOIUrl":"10.1007/s13324-025-01020-6","url":null,"abstract":"<div><p>In this paper we discuss the boundedness of the Hardy–Littlewood maximal operator <span>(M_{lambda }, lambda ge 1)</span>, and the variable Riesz potential operator <span>(I_{alpha (cdot ),tau }, tau ge 1)</span>, on Musielak–Orlicz–Morrey spaces <span>(L^{Phi ,kappa ,theta }(X))</span> over unbounded metric measure spaces <i>X</i>. As an important example, we obtain the boundedness of <span>(M_{lambda })</span> and <span>(I_{alpha (cdot ),tau })</span> in the framework of double phase functionals with variable exponents <span>(Phi (x,t) = t^{p(x)} + a(x) t^{q(x)}, x in X, t ge 0)</span>, where <span>(p(x)<q(x))</span> for <span>(xin X)</span>, <span>(a(cdot ))</span> is a non-negative, bounded and Hölder continuous function of order <span>(theta in (0,1])</span>. Our results are new even for the variable exponent Morrey spaces or for the doubling metric measure case in that the underlying spaces need not be bounded.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 2","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-02-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13324-025-01020-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143108258","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}
{"title":"Tensor tomography using V-line transforms with vertices restricted to a circle","authors":"Rohit Kumar Mishra, Anamika Purohit, Indrani Zamindar","doi":"10.1007/s13324-025-01014-4","DOIUrl":"10.1007/s13324-025-01014-4","url":null,"abstract":"<div><p>In this article, we study the problem of recovering symmetric <i>m</i>-tensor fields (including vector fields) supported in a unit disk <span>({mathbb {D}})</span> from a set of generalized V-line transforms, namely longitudinal, transverse, and mixed V-line transforms, and their integral moments. We work in a circular geometric setup, where the V-lines have vertices on a circle, and the axis of symmetry is orthogonal to the circle. We present two approaches to recover a symmetric <i>m</i>-tensor field from the combination of longitudinal, transverse, and mixed V-line transforms. With the help of these inversion results, we are able to give an explicit kernel description for these transforms. We also derive inversion algorithms to reconstruct a symmetric <i>m</i>-tensor field from its first (<i>m</i>+1) integral moment longitudinal/transverse V-line transforms.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143107933","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}
{"title":"Modulus estimates of semirings with applications to boundary extension problems","authors":"Anatoly Golberg, Toshiyuki Sugawa, Matti Vuorinen","doi":"10.1007/s13324-025-01019-z","DOIUrl":"10.1007/s13324-025-01019-z","url":null,"abstract":"<div><p>In our previous paper (Golberg et al. in Comput Methods Funct Theory 20(3–4):539–558, 2020), we proved that the complementary components of a ring domain in <span>(mathbb {R}^n)</span> with large enough modulus may be separated by an annular ring domain and applied this result to boundary correspondence problems under quasiconformal mappings. In the present paper, we continue this work and investigate boundary extension problems for a larger class of mappings.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13324-025-01019-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143110078","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}
Thomas Baier, Ana Cristina Ferreira, Joachim Hilgert, José M. Mourão, João P. Nunes
{"title":"Fibering polarizations and Mabuchi rays on symmetric spaces of compact type","authors":"Thomas Baier, Ana Cristina Ferreira, Joachim Hilgert, José M. Mourão, João P. Nunes","doi":"10.1007/s13324-025-01012-6","DOIUrl":"10.1007/s13324-025-01012-6","url":null,"abstract":"<div><p>In this paper, we describe holomorphic quantizations of the cotangent bundle of a symmetric space of compact type <span>(T^*(U/K)cong U_mathbb {C}/K_mathbb {C})</span>, along Mabuchi rays of <i>U</i>-invariant Kähler structures. At infinite geodesic time, the Kähler polarizations converge to a mixed polarization <span>(mathcal {P}_infty )</span>. We show how a generalized coherent state transform (gCST) relates the quantizations along the Mabuchi geodesics such that holomorphic sections converge, as geodesic time goes to infinity, to distributional <span>(mathcal {P}_infty )</span>-polarized sections. Unlike in the case of <span>(T^*(U))</span>, the gCST mapping from the Hilbert space of vertically polarized sections are not asymptotically unitary due to the appearance of representation dependent factors associated to the isotypical decomposition for the <i>U</i>-action . In agreement with the general program outlined by Baier, Hilgert, Kaya, Mourão and Nunes in Journal of Geometry and Physics, 2025, we also describe how the quantization in the limit polarization <span>(mathcal {P}_infty )</span> is given by the direct sum of the quantizations for all the symplectic reductions relative to the invariant torus action associated to the Hamiltonian action of <i>U</i>.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143110143","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}
Romulo D. Carlos, Victor C. de Oliveira, Leandro S. Tavares
{"title":"On a fractional Kirchhoff system with logarithmic nonlinearities","authors":"Romulo D. Carlos, Victor C. de Oliveira, Leandro S. Tavares","doi":"10.1007/s13324-025-01017-1","DOIUrl":"10.1007/s13324-025-01017-1","url":null,"abstract":"<div><p>In this paper, two results regarding the existence and multiplicity of ground state solutions for a fractional Kirchhoff-type system involving logarithmic nonlinearities are obtained via variational methods. The proposed problem is motivated by several mathematical models that arise, for example, in quantum mechanics, nuclear physics, quantum optics, transport and diffusion phenomena, effective quantum gravity, open quantum systems, the theory of superfluidity, and Bose–Einstein condensation. The first result provides the existence of a ground state solution for the proposed problem. Under a different set of hypotheses with respect to the first result, a second one is obtained, which provides the existence of at least two non-trivial ground state solutions.\u0000</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143109966","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}