{"title":"On dimension and regularity of vector-valued measures under Fourier analytic constraints","authors":"Rami Ayoush, M. Wojciechowski","doi":"10.1215/00192082-10018154","DOIUrl":"https://doi.org/10.1215/00192082-10018154","url":null,"abstract":"","PeriodicalId":56298,"journal":{"name":"Illinois Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45694792","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Classification of Cohen–Macaulay t-spread lexsegment ideals via simplicial complexes","authors":"M. Crupi, A. Ficarra","doi":"10.1215/00192082-10201831","DOIUrl":"https://doi.org/10.1215/00192082-10201831","url":null,"abstract":"We study the minimal primary decomposition of completely t –spread lexsegment ideals via simplicial complexes. We determine some algebraic invariants of such a class of t –spread ideals. Hence, we classify all t –spread lexsegment ideals which are Cohen–Macaulay.","PeriodicalId":56298,"journal":{"name":"Illinois Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48757671","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Weighted Hardy–Littlewood–Sobolev-type inequality for ψ-Riemann–Liouville fractional integrals","authors":"C. Ledesma, J. V. C. Sousa, Amado M. Cruz","doi":"10.1215/00192082-10346668","DOIUrl":"https://doi.org/10.1215/00192082-10346668","url":null,"abstract":"","PeriodicalId":56298,"journal":{"name":"Illinois Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49565030","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
W. Arendt, Eddy Bernard, Benjamin Célariès, I. Chalendar
{"title":"Denjoy–Wolff theory and spectral properties of weighted composition operators on Hol(D)","authors":"W. Arendt, Eddy Bernard, Benjamin Célariès, I. Chalendar","doi":"10.1215/00192082-10235589","DOIUrl":"https://doi.org/10.1215/00192082-10235589","url":null,"abstract":"","PeriodicalId":56298,"journal":{"name":"Illinois Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46111338","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On recurrence in zero-dimensional locally compact flow with compactly generated phase group","authors":"Xiongping Dai","doi":"10.1215/00192082-10201776","DOIUrl":"https://doi.org/10.1215/00192082-10201776","url":null,"abstract":"We define recurrence for a compactly generated para-topological group G acting continuously on a locally compact Hausdor ff space X with dim X = 0, and then, show that if Gx is compact for all x ∈ X , the conditions (i) this dynamics is pointwise recurrent, (ii) X is a union of G -minimal sets, (iii) the G -orbit closure relation is closed in X × X , and (iv) X ∋ x 7→ Gx ∈ 2 X is continuous, are pairwise equivalent. Consequently, if this dynamics is pointwise product recurrent, then it is pointwise regularly almost periodic and equicontinuous; moreover, a distal, compact, and non-connected G -flow has a non-trivial equicontinuous pointwise regularly almost periodic factor.","PeriodicalId":56298,"journal":{"name":"Illinois Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46752494","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Quasi-geodesics and backward orbits under semigroups of holomorphic functions","authors":"Konstantinos Zarvalis","doi":"10.1215/00192082-10346693","DOIUrl":"https://doi.org/10.1215/00192082-10346693","url":null,"abstract":"We explore two properties of backward orbits under semigroups of holomorphic self-maps in the unit disk. First, we prove that regular backward orbits are quasi-geodesics for the hyperbolic distance of the unit disk. Then, we show that backward orbits satisfy a useful property, this time in Euclidean terms.","PeriodicalId":56298,"journal":{"name":"Illinois Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42283278","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Embedding and compact embedding of weighted Bergman spaces","authors":"Kehe Zhu","doi":"10.1215/00192082-10120480","DOIUrl":"https://doi.org/10.1215/00192082-10120480","url":null,"abstract":"","PeriodicalId":56298,"journal":{"name":"Illinois Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48508255","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The Fantasy and Science Fiction Films","authors":"Lester D. Friedman","doi":"10.5622/illinois/9780252044137.003.0001","DOIUrl":"https://doi.org/10.5622/illinois/9780252044137.003.0001","url":null,"abstract":"Spielberg’s fantasy films usually focus on the need to discard childish illusions and accept adult responsibilities. His fantasy figures attempt various strategies to put things back together or to find new ways to enrich a present that cannot possibly duplicate the past. Each character confronts an amalgam of past and present losses and gains within their individual and family lives in order to create a successful future. Spielberg’s science fiction films offer a surprising range of perspectives from the ideologically orthodox, to the liberally humanistic, to the radically unconventional, to the morally dystopic. Many of these movies resonated deeply within the communal American psyche, and in this chapter I detail their box office receipts along with revealing events during their creation and marking their biographical connection to Spielberg.","PeriodicalId":56298,"journal":{"name":"Illinois Journal of Mathematics","volume":"1 1","pages":"1-64"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147896676","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Dihedral monodromy of cone spherical metrics","authors":"Q. Gendron, Guillaume Tahar","doi":"10.1215/00192082-10678812","DOIUrl":"https://doi.org/10.1215/00192082-10678812","url":null,"abstract":"Among metrics of constant positive curvature on a punctured compact Riemann surface with conical singularities at the punctures, dihedral monodromy means that the action of the monodromy group globally preserves a pair of antipodal points. Using recent results about local invariants of quadratic differentials, we give a complete characterization of the set of conical angles realized by some cone spherical metric with dihedral monodromy.","PeriodicalId":56298,"journal":{"name":"Illinois Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48553360","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}