{"title":"Descriptive set-theoretic aspects of\u0000closed sets of uniqueness in the non-abelian setting","authors":"João Paulos","doi":"10.4064/sm210603-25-10","DOIUrl":"https://doi.org/10.4064/sm210603-25-10","url":null,"abstract":"","PeriodicalId":51179,"journal":{"name":"Studia Mathematica","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70515937","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":"Strong ball proximinality of the space of compact operators","authors":"C. R. Jayanarayanan, Sreejith Siju","doi":"10.4064/sm211009-29-5","DOIUrl":"https://doi.org/10.4064/sm211009-29-5","url":null,"abstract":"","PeriodicalId":51179,"journal":{"name":"Studia Mathematica","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70516150","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":"A weak type (1,1) estimate for the Hilbert operator in higher-dimensional setting","authors":"F. Sukochev, K. Tulenov, D. Zanin","doi":"10.4064/sm201201-4-11","DOIUrl":"https://doi.org/10.4064/sm201201-4-11","url":null,"abstract":"","PeriodicalId":51179,"journal":{"name":"Studia Mathematica","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70509026","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}
We consider vectorial minimizers of the integral functional
我们考虑积分泛函的向量极小值
{"title":"Partial regularity of minimizers of asymptotically convex functionals with ${p(x)}$-growth","authors":"C. Goodrich, A. Scapellato","doi":"10.4064/sm210104-20-9","DOIUrl":"https://doi.org/10.4064/sm210104-20-9","url":null,"abstract":"We consider vectorial minimizers of the integral functional","PeriodicalId":51179,"journal":{"name":"Studia Mathematica","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70515322","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":"Minimization of lowest positive periodic eigenvalue for the Camassa–Holm equation with indefinite potential","authors":"Jifeng Chu, Gang Meng","doi":"10.4064/sm211019-20-6","DOIUrl":"https://doi.org/10.4064/sm211019-20-6","url":null,"abstract":"","PeriodicalId":51179,"journal":{"name":"Studia Mathematica","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70516164","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":"Spectral deviation of concentration operators for the short-time Fourier transform","authors":"F. Marceca, J. Romero","doi":"10.4064/sm220214-17-10","DOIUrl":"https://doi.org/10.4064/sm220214-17-10","url":null,"abstract":"","PeriodicalId":51179,"journal":{"name":"Studia Mathematica","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70524748","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}
. Let X be a real Banach space. For a non-empty finite subset F and closed convex subset V of X , we denote by rad X ( F ) , rad V ( F ) , cent X ( F ) and d ( V, cent X ( F )) the Chebyshev radius of F in X , the restricted Chebyshev radius of F in V , the set of Chebyshev centers of F in X and the distance between the sets V and cent X ( F ) respectively. We prove that X is an L 1 -predual space if and only if for each four-point subset F of X and non-empty closed convex subset V of X , rad V ( F ) = rad X ( F ) + d ( V, cent X ( F )) . Moreover, we explicitly describe the Chebyshev centers of a compact subset of an L 1 - predual space. Various new characterizations of ideals in an L 1 -predual space are also obtained. In particular, for a compact Hausdorff space S and a subspace A of C ( S ) which contains the constant function 1 and separates the points of S , we prove that the state space of A is a Choquet simplex if and only if d ( A , cent C ( S ) ( F )) = 0 for every four-point subset F of A . We also derive characterizations for a compact convex subset of a locally convex topological vector space to be a Choquet simplex.
． 设X是一个实巴拿赫空间。对于一个非空有限子集F (X)和闭凸子集,我们通过rad X (F)表示,rad V (F),分X (F)和d (V,分X (F))的切比雪夫半径F在X, V F的切比雪夫半径限制,F组切比雪夫中心的X和之间的距离分别设置V和分X (F)。证明X是一个l1 -预偶空间当且仅当对于X的每个四点子集F和X的非空闭凸子集V, rad V (F) = rad X (F) + d (V, cent X (F))。此外，我们明确地描述了一个l1 -前偶空间的紧子集的切比雪夫中心。得到了理想在l1 -前偶空间中的各种新的表征。特别地，对于紧化Hausdorff空间S和C (S)的子空间a(包含常数函数1并分隔S的点)，我们证明了当且仅当d (a, C (S) (F)) = 0时，a的状态空间是Choquet单纯形。我们还推导了局部凸拓扑向量空间的紧凸子集为Choquet单纯形的刻画。
{"title":"Some geometrical characterizations of $L_1$-predual spaces","authors":"Teena Thomas","doi":"10.4064/sm220608-4-11","DOIUrl":"https://doi.org/10.4064/sm220608-4-11","url":null,"abstract":". Let X be a real Banach space. For a non-empty finite subset F and closed convex subset V of X , we denote by rad X ( F ) , rad V ( F ) , cent X ( F ) and d ( V, cent X ( F )) the Chebyshev radius of F in X , the restricted Chebyshev radius of F in V , the set of Chebyshev centers of F in X and the distance between the sets V and cent X ( F ) respectively. We prove that X is an L 1 -predual space if and only if for each four-point subset F of X and non-empty closed convex subset V of X , rad V ( F ) = rad X ( F ) + d ( V, cent X ( F )) . Moreover, we explicitly describe the Chebyshev centers of a compact subset of an L 1 - predual space. Various new characterizations of ideals in an L 1 -predual space are also obtained. In particular, for a compact Hausdorff space S and a subspace A of C ( S ) which contains the constant function 1 and separates the points of S , we prove that the state space of A is a Choquet simplex if and only if d ( A , cent C ( S ) ( F )) = 0 for every four-point subset F of A . We also derive characterizations for a compact convex subset of a locally convex topological vector space to be a Choquet simplex.","PeriodicalId":51179,"journal":{"name":"Studia Mathematica","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70526174","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}
Yanping Chen, X. Duong, Ji Li, Wenyu Tao, Dongyong Yang
{"title":"Square roots of the Bessel operators and the related Littlewood–Paley estimates","authors":"Yanping Chen, X. Duong, Ji Li, Wenyu Tao, Dongyong Yang","doi":"10.4064/sm190922-19-11","DOIUrl":"https://doi.org/10.4064/sm190922-19-11","url":null,"abstract":"","PeriodicalId":51179,"journal":{"name":"Studia Mathematica","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70496566","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}
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