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On mixed multidimensional exponential Kantorovich operators 关于混合多维指数Kantorovich算子
IF 1.3 3区 数学
Analysis and Mathematical Physics Pub Date : 2026-06-25 DOI: 10.1007/s13324-026-01229-z
Laura Angeloni, Ali Aral, Firat Ozsarac
{"title":"On mixed multidimensional exponential Kantorovich operators","authors":"Laura Angeloni,&nbsp;Ali Aral,&nbsp;Firat Ozsarac","doi":"10.1007/s13324-026-01229-z","DOIUrl":"10.1007/s13324-026-01229-z","url":null,"abstract":"<div><p>In this paper, we introduce and study a family of multidimensional mixed exponential Kantorovich operators on the hypercube <span>([0,1]^N)</span>. The idea is to define a vector of operators where the integral mean replaces the sample values of the function just with respect to a single variable, letting the exponential sampling-type structure for the other <span>(N-1)</span> variables. For such operators, we compute the first multidimensional exponential moments and then we prove both pointwise and uniform convergence: the latter result is obtained by means of Korovkin type theorems. Furthermore, we prove a quantitative estimate of the order of approximation in terms of the modulus of continuity of the approximated function.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"16 4","pages":""},"PeriodicalIF":1.3,"publicationDate":"2026-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13324-026-01229-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148323951","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
Hardy type inequalities in weighted Herz-Morrey-Orlicz spaces 加权Herz-Morrey-Orlicz空间中的Hardy型不等式
IF 1.3 3区 数学
Analysis and Mathematical Physics Pub Date : 2026-06-20 DOI: 10.1007/s13324-026-01205-7
Yoshihiro Mizuta, Tetsu Shimomura
{"title":"Hardy type inequalities in weighted Herz-Morrey-Orlicz spaces","authors":"Yoshihiro Mizuta,&nbsp;Tetsu Shimomura","doi":"10.1007/s13324-026-01205-7","DOIUrl":"10.1007/s13324-026-01205-7","url":null,"abstract":"<div><p>We prove Hardy-Sobolev inequalities in weighted Herz-Morrey-Orlicz spaces on <span>({mathbb R}^n)</span>. As an application, we discuss Hardy-Sobolev inequalities for generalized Riesz potentials </p><div><div><span>$$begin{aligned} &amp; R_{alpha ,m}f(x) = int _{{mathbb R}^n} R_{alpha ,m} (x,y) f(y) dy, end{aligned}$$</span></div></div><p>where <span>(R_{alpha }(x)=|x|^{alpha -n})</span> and </p><div><div><span>$$ displaystyle {R_{alpha ,m}(x,y) = R_{alpha }(x-y) - sum _{|ell | le m-1} frac{x^{ell }}{ell !}(D^{ell }R_{alpha })(-y)}. $$</span></div></div></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"16 4","pages":""},"PeriodicalIF":1.3,"publicationDate":"2026-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13324-026-01205-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148281588","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
Invariant measures and their limiting behavior for neutral type stochastic delay equations in Hilbert space Hilbert空间中中立型随机时滞方程的不变测度及其极限行为
IF 1.3 3区 数学
Analysis and Mathematical Physics Pub Date : 2026-06-15 DOI: 10.1007/s13324-026-01223-5
Oleksandr Stanzhytskyi, Oleksandr Pravdyvyi, Oleksiy Kapustyan, Fahreddin G. Abdullayev
{"title":"Invariant measures and their limiting behavior for neutral type stochastic delay equations in Hilbert space","authors":"Oleksandr Stanzhytskyi,&nbsp;Oleksandr Pravdyvyi,&nbsp;Oleksiy Kapustyan,&nbsp;Fahreddin G. Abdullayev","doi":"10.1007/s13324-026-01223-5","DOIUrl":"10.1007/s13324-026-01223-5","url":null,"abstract":"<div><p>In this work we consider invariant measures for neutral type stochastic delay evolution equations in Hilbert space. We derive the conditions for the existence and uniqueness of invariant measure for neutral type stochastic delay evolution equation. The limiting behavior of invariant measures is also investigated in the asymptotic limit, as the length of delay interval tends to zero.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"16 4","pages":""},"PeriodicalIF":1.3,"publicationDate":"2026-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148281248","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
The Calderón problem for fractional space-time parabolic operators with drift 带漂移的分数阶时空抛物算子Calderón问题
IF 1.3 3区 数学
Analysis and Mathematical Physics Pub Date : 2026-06-15 DOI: 10.1007/s13324-026-01221-7
Weinan Wang
{"title":"The Calderón problem for fractional space-time parabolic operators with drift","authors":"Weinan Wang","doi":"10.1007/s13324-026-01221-7","DOIUrl":"10.1007/s13324-026-01221-7","url":null,"abstract":"<div><p>We establish well-posedness and unique determination of coefficients for a class of nonlocal parabolic operators with drift. The operators under study involve a superposition of fractional space-time derivatives of orders strictly between one-half and one, together with a first-order drift term and a zero-order potential, both defined on a bounded space-time cylinder. We prove that the drift and the potential are uniquely determined by the exterior Dirichlet-to-Neumann map, which encodes measurements made strictly outside the domain. The proof proceeds via well-posedness in fractional parabolic Sobolev spaces using the Fredholm alternative, an entanglement principle that reduces the problem to the drift-free case, a Runge-type approximation result establishing density of exterior solutions in the interior, and a Green-type integral identity linking the difference of two Dirichlet-to-Neumann maps to differences of coefficients. Unique recovery then follows from an oscillatory-phase test function argument.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"16 4","pages":""},"PeriodicalIF":1.3,"publicationDate":"2026-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148281249","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
Local exact controllability to the trajectories of the convective Brinkman-Forchheimer equations 对流Brinkman-Forchheimer方程轨迹的局部精确可控性
IF 1.6 3区 数学
Analysis and Mathematical Physics Pub Date : 2026-06-10 DOI: 10.1007/s13324-026-01222-6
Pardeep Kumar, Manil T. Mohan
{"title":"Local exact controllability to the trajectories of the convective Brinkman-Forchheimer equations","authors":"Pardeep Kumar,&nbsp;Manil T. Mohan","doi":"10.1007/s13324-026-01222-6","DOIUrl":"10.1007/s13324-026-01222-6","url":null,"abstract":"<div><p>In this article, we discuss the local exact controllability to trajectories of the convective Brinkman-Forchheimer (CBF) equations (or damped Navier-Stokes equations) in a bounded domain <span>(Omega )</span> with control supported in a subdomain <span>(omega subset Omega subset mathbb {R}^d)</span>, <span>(d in {2,3})</span> with smooth boundary. We first present global Carleman estimates and observability inequality for the adjoint problem of a linearized version of CBF equations by using a global Carleman estimate for the Stokes system. This allows us to obtain its null controllability at any time <span>(T&gt;0)</span>. We then use the inverse mapping theorem to deduce local results concerning the exact controllability to the trajectories of CBF equations.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"16 4","pages":""},"PeriodicalIF":1.6,"publicationDate":"2026-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148236723","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
A supercritical nonlocal Neumann problem involving non-homogeneous fractional Laplacian 涉及非齐次分数阶拉普拉斯算子的超临界非局部Neumann问题
IF 1.6 3区 数学
Analysis and Mathematical Physics Pub Date : 2026-06-10 DOI: 10.1007/s13324-026-01211-9
Remi Yvant Temgoua
{"title":"A supercritical nonlocal Neumann problem involving non-homogeneous fractional Laplacian","authors":"Remi Yvant Temgoua","doi":"10.1007/s13324-026-01211-9","DOIUrl":"10.1007/s13324-026-01211-9","url":null,"abstract":"<div><p>In this paper, we study the existence of positive non-decreasing radial solutions of a nonlocal non-standard growth problem ruled by the fractional <i>g</i>-Laplace operator with exterior Neumann condition. Our argument exploits some properties of fractional Orlicz-Sobolev spaces combined with a variational principle for nonsmooth functionals, which allows to deal with problems lacking compactness.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"16 4","pages":""},"PeriodicalIF":1.6,"publicationDate":"2026-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148236724","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
Laplace–Carleson embeddings and infinity-norm admissibility 拉普拉斯-卡尔森嵌入与无穷范数可容许性
IF 1.6 3区 数学
Analysis and Mathematical Physics Pub Date : 2026-06-09 DOI: 10.1007/s13324-026-01203-9
Birgit Jacob, Jonathan R. Partington, Sandra Pott, Eskil Rydhe, Felix L. Schwenninger
{"title":"Laplace–Carleson embeddings and infinity-norm admissibility","authors":"Birgit Jacob,&nbsp;Jonathan R. Partington,&nbsp;Sandra Pott,&nbsp;Eskil Rydhe,&nbsp;Felix L. Schwenninger","doi":"10.1007/s13324-026-01203-9","DOIUrl":"10.1007/s13324-026-01203-9","url":null,"abstract":"<div><p>A full characterization of the boundedness of Laplace–Carleson embeddings on <span>(L^infty )</span> is provided, in terms of the Carleson intensity of the respective measure and of a suitable weighted Berezin transform of the measure. Moreover, boundedness results, and in some cases full characterizations of boundedness, are proved for a large class of Orlicz spaces. These findings are crucial for characterizing admissibility of control operators for linear diagonal semigroup systems in a variety of contexts. A particular focus is laid on essentially bounded inputs.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"16 4","pages":""},"PeriodicalIF":1.6,"publicationDate":"2026-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13324-026-01203-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148236915","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
Spectral asymmetry via pseudodifferential projections: the massless Dirac operator 伪微分投影的谱不对称：无质量狄拉克算子
IF 1.6 3区 数学
Analysis and Mathematical Physics Pub Date : 2026-06-08 DOI: 10.1007/s13324-026-01210-w
Matteo Capoferri, Beatrice Costeri, Claudio Dappiaggi
{"title":"Spectral asymmetry via pseudodifferential projections: the massless Dirac operator","authors":"Matteo Capoferri,&nbsp;Beatrice Costeri,&nbsp;Claudio Dappiaggi","doi":"10.1007/s13324-026-01210-w","DOIUrl":"10.1007/s13324-026-01210-w","url":null,"abstract":"<div><p>A new approach to the study of spectral asymmetry for systems of partial differential equations (PDEs) on closed manifolds was proposed in a recent series of papers by the first author and collaborator. They showed that information on spectral asymmetry can be encoded within and recovered from a negative order pseudodifferential operator — the asymmetry operator — constructed from appropriately defined pseudodifferential (spectral) projections. In this manuscript we apply these techniques to the study of the massless Dirac operator; in particular, we compute the principal symbol of the asymmetry operator, accounting for the underlying gauge invariance.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"16 4","pages":""},"PeriodicalIF":1.6,"publicationDate":"2026-06-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13324-026-01210-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148236877","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
Cyclicity of Multipliers on the Unit Ball of (mathbb {C}^n): A Corona-Based Approach (mathbb {C}^n)单位球上乘法器的循环性：基于电晕的方法
IF 1.6 3区 数学
Analysis and Mathematical Physics Pub Date : 2026-06-05 DOI: 10.1007/s13324-026-01220-8
Pouriya Torkinejad Ziarati
{"title":"Cyclicity of Multipliers on the Unit Ball of (mathbb {C}^n): A Corona-Based Approach","authors":"Pouriya Torkinejad Ziarati","doi":"10.1007/s13324-026-01220-8","DOIUrl":"10.1007/s13324-026-01220-8","url":null,"abstract":"<div><p>We study the cyclicity of multipliers in Dirichlet-type spaces <span>( D_alpha (mathbb {B}_n) )</span>. Specifically, we show that a multiplier <span>( f )</span> analytic on a neighborhood of <span>(overline{mathbb {B}}_n)</span>, whose zero set on the unit sphere is a compact, smooth, complex tangential submanifold of real dimension <span>( m le n - 1 )</span>, is cyclic in <span>( D_alpha (mathbb {B}_n) )</span> if and only if <span>( alpha le frac{2n - m}{2} )</span>. Our approach combines classical results on peak sets in <span>( A^infty (mathbb {B}_n) )</span> due to Chaumat and Chollet with a Corona-type theorem with two generators for the multiplier algebra.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"16 4","pages":""},"PeriodicalIF":1.6,"publicationDate":"2026-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148172180","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
Improved Brezis-Marcus constants for Avkhadiev–Wirths conjecture 改进了Avkhadiev-Wirths猜想的Brezis-Marcus常数
IF 1.6 3区 数学
Analysis and Mathematical Physics Pub Date : 2026-06-04 DOI: 10.1007/s13324-026-01201-x
Ramil Nasibullin, Il’yas Gabdulkhalikov
{"title":"Improved Brezis-Marcus constants for Avkhadiev–Wirths conjecture","authors":"Ramil Nasibullin,&nbsp;Il’yas Gabdulkhalikov","doi":"10.1007/s13324-026-01201-x","DOIUrl":"10.1007/s13324-026-01201-x","url":null,"abstract":"<div><p>This paper is devoted to Hardy type inequalities with additional terms. New one-dimensional inequalities are established. Using these one-dimensional inequalities, we obtain spatial inequalities for compactly supported smooth functions in <i>n</i>-balls with finite Dirichlet integral. We improve known lower estimates of the Brezis-Marcus constants for the Avkhadiev–Wirths conjecture and thus come closer to confirming the conjecture. The key point of the proofs of all the main results is the choice of special functions with parameters that are not dictated by anything.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"16 4","pages":""},"PeriodicalIF":1.6,"publicationDate":"2026-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148146910","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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