Table Of Content

ILLINOIS JOURNAL OF MATHEMATICS a quarterly journal published by the UNIVERSITY OF ILLINOIS at Urbana-Champaign edited by LUCHEZAR L. AVRAMOV MARIO BONK STEVEN BRADLOW PHILLIP GRIFFITH WILLIAM HABOUSH MARIUS JUNGE WALTER NEUMANN HAROLD ROSENBERG RICHARD SOWERS CHRISTOPH THIELE ILLINOIS JOURNAL OF MATHEMATICS Contents of Volume 52 Wael Abu-Shammala, Alberto Torchinsky, From dyadic A, Alan Adolphson, Steven Sperber, On the zeta function of a pro- jective complete intersection John R. Akeroyd, Pratibha G. Ghatage, Closed-range composition operators on A? Gorjan Alagic, Alexander Russell, Uncertainty principles for PRUEAN MAOH 5 05a: cdo, ateeala eleva Seiehelaa 4s ee Sao ae ae Tee M. AIAli, Ch. Hering, A. Neumann, On B-injectors of the cov- ering groups of A,, Juan A. Aledo, José M. Espinar, José A. Galvez, Height estimates for surfaces with positive constant mean curvature in Stephanie Alexander, Vitali Kapovitch, Anton Petrunin, An optimal lower curvature bound for convex hypersurfaces in Rie- I Us iasca sv tei s cep anes aioe ccatasiiacaitiaades 1031 Claire Anantharaman-Delaroche, On the comparison of norms of convolutors associated with noncommutative dynamics........ Czestaw Baginski, Agnieszka Stocka, Finite groups with L-free lattices of subsroupe «...........0..065 Frédéric Bayart, Sophie Grivaux, Raymond Mortini, Common bounded universal functions for composition operators ........ Kevin Beanland, Operators on asymptotic ¢, spaces which are not compact perturbations of a multiple of the identity Apostolos Beligiannis, Henning Krause, Thick subcategories and virtually Gorenstein algebras... .....5...066.cccccscecsadents Walter Bergweiler, Alexandre Eremenko, Direct singularities and completely invariant domains of entire functions.......... Dimitrios Betsakos, Symmetrization and harmonic measure Lev Birbrair, Lipschitz geometry of curves and surfaces definable in CEUTA SUNNGEUNES < 5.56 6 Sax oncneks caedeasiewencdenaaaanbaeen INDEX Oscar Blasco, Sandra Pott, Embeddings between operator-valued UY ALITC HEDI ONICS Fossa, bus6 ices ate rasan Sexse Srsisal evela larovesolole ncec alavetets 799 Werner Bley, Manuel Breuning, Exact algorithms for p-adic fields and epsilon constant conjectures ....0..... ce.ce .eee. ee.e e ee 773 Lynette J. Boos, A characterization of C(/’) among function algebras on a Riemann surface 867 Paul S. Bourdon, Joel H. Shapiro, Intertwining relations and extended eigenvalues for analytic Toeplitz operators........... 1007 Manuel Breuning, Werner Bley, Exact algorithms for p-adic fields and epsilon constant conjectures .........ce.ce. ee.e e.ee. e.e e ee 773 C.-Y. Jean Chan, Christine Cumming, Huy Tai Ha, Cohen- Macaulay multigraded modules ..................ceeeeeeeeeees 1147 TongKeun Chang, Kijung Lee, Spectral properties of the layer potentials on Lipschitz domains ................ccccececeecetes 463 Jianging Chen, Yue Liu, Instability of standing waves to the inhomogeneous nonlinear Schrédinger equation with harmonic potential B. Colbois, C. Vernicos, P. Verovic, Area of ideal triangles and Gromov hyperbolicity in Hilbert geometry Christine Cumming, C.-Y. Jean Chan, Huy Tai Ha, Cohen Macaulay multigraded modules ...................eeeeeeeeeeee A. J. de Jong, Jason Starr, Erratum: Cubic fourfolds and spaces GIEMAUIONAIRCEMES ani. ct hire Sis GS a disW ale eemiase s ahinw des etee loess Pandelis Dodos, Vassilis Kanellopoulos, On pairs of definable ONO COMA SPAMS ceric. 5 sie 208s juec wisate Ares le cee as as ean oee cans Benton L. Duncan, Finite dimensional point derivations for graph es RR Rec CRS OE cy Bt PORE Lh PRN a GREER Crete a Kazuyuki Enomoto, Jin-ichi Itoh, Robert Sinclair, The total absolute curvature of open curves in FE? Alexandre Eremenko, Densities in Fabry’s theorem Alexandre Eremenko, Walter Bergweiler, Direct singularities and completely invariant domains of entire functions.......... José M. Espinar, Juan A. Aledo, José A. Galvez, Height estimates for surfaces with positive constant mean curvature in Julian Fernandez Bonder, Julio D. Rossi, Carola-Bibiane Schonlieb, The best constant and extremals of the Sobolev embeddings in domains with holes: The L°° case INDEX Walterson Ferreira, Pedro Roitman, A class of surfaces in H? x R associated to harmonic functions and a relation between CMC- a MI 55 dp sa wn eer adiiccdnsncenhmegew Andreas Fischer, Definable smoothing of Lipschitz continuous functions José A. Galvez, Juan A. Aledo, José M. Espinar, Height estimates for surfaces with positive constant mean curvature in Mingchu Gao, Free Markov processes and stochastic differential equations in von Neumann algebras.....................00005 Pratibha G. Ghatage, John R. Akeroyd, Closed-range composition operators on A? Geoff Goehle, Group bundle duality Claudio Gorodski, Taut representations of compact simple Lie I ah lis CPO as Ssna KG dco ewan SIR Ward dade aa lye eiake ee Sophie Grivaux, Frédéric Bayart, Raymond Mortini, Common bounded universal functions for composition operators Phillip S. Harrington, Property (P) and Stein neighborhood bases on C! domains Alan K. Haynes, Jeffrey D. Vaaler, Martingale differences and the metric theory of continued fractions....................65- Yijun He, Haizhong Li, Stability of hypersurfaces with constant (r+ 1)-th anisotropic mean curvature Ch. Hering, M. AlAli, A. Neumann, On B-injectors of the cov- ering groups of A, David Herron, Nageswari Shanmugalingam, Xiangdong Xie, Uniformity from Gromov hyperbolicity L065 Kunio Hidano, Yuki Kurokawa, Weighted HLS inequalities for radial functions and Strichartz estimates for wave and Schrodinger CO AUNTEE TORIES ors ete wh acdra Sly wale So hed ae Wome Sate Oe ee cee Henrik Holm, Peter Jorgensen, Covers, precovers, and purity... Marianty Ionel, Maung Min-Oo, Cohomogeneity one special La- grangian 3-folds in the deformed and the resolved conifolds.... Alex Iosevich, Doowon Koh, Extension theorems for the Fourier transform associated with nondegenerate quadratic surfaces in Veetor SPACES OVER TUE HEIAS. 6./.:.6 6 ede Doce ceweowenns Jin-ichi Itoh, Kazuyuki Enomoto, Robert Sinclair, The total absolute curvature of open curves in E* Yunfeng Jiang, The orbifold cohomology ring of simplicial toric thei DUNGOR occs cs Sots an week eee wc on eee rama mes ooaaraaees INDEX Jani Joensuu, On null sets of Sobolev—Orlicz capacities Peter Jorgensen, Henrik Holm, Covers, precovers, and purity... N. J. Kalton, Automorphisms of C(/’)-spaces and extension of linear 0 2 RAR ATC tere CNY 2 SOR aee R Pate free IRE SP cr ASI Vassilis Kanellopoulos, Pandelis Dodos, On pairs of definable Re 6 aig Fs wh + eens neon bade ooRee nae Vitali Kapovitch, Stephanie Alexander, Anton Petrunin, An optimal lower curvature bound for convex hypersurfaces in Rie- mannian manifolds Ken-ichiroh Kawasaki, On finiteness properties of local cohomology modules over Cohen—Macaulay local rings Doowon Koh, Alex Iosevich, Extension theorems for the Fourier transform associated with nondegenerate quadratic surfaces in vector spaces over finite fields Janina Kotus, Mariusz Urbanski, Hausdorff dimension of radial and escaping points for transcendental meromorphic functions Henning Krause, Apostolos Beligiannis, Thick subcategories and virtually Gorenstein algebras ..................e.eeee eee e e Hamid Kulosman, Monomial sequences of linear type ............ Yuki Kurokawa, Kunio Hidano, Weighted HLS inequalities for radial functions and Strichartz estimates for wave and Schrédinger equations Kijung Lee, TongKeun Chang, Spectral properties of the layer potentials on Lipschitz domains...................0ceeeeeeeees A. Leibman, Ergodic components of an extension by a nilmanifold Andrei K. Lerner, On some weighted norm inequalities for Little- ORR eI 6 oid 6 Ha snk Coe cra vneeew ens Denny H. Leung, Wee-Kee Tang, More mixed Tsirelson spaces that are not isomorphic to their modified versions............. 17 Haizhong Li, Yijun He, Stability of hypersurfaces with constant (r+ 1)-th anisotropic mean curvature ...............ce.c0e .ee e 1301 Aleksei Lissitsin, Kristel Mikkor, Eve Oja, Approximation properties defined by spaces of operators and approximability in op- eeea eee e n ee ee eee Yue Liu, Jianqing Chen, Instability of standing waves to the inhomogeneous nonlinear Schrédinger equation with harmonic potential Yves Martinez-Maure, A Sturm-type comparison theorem by a geometric study of plane multihedgehogs.....................-. INDEX Katsuhiko Matsuzaki, On quasiconformal invariance of conver- gence and divergence types for Fuchsian groups Sergei Merenkov, Rapidly growing entire functions with three sin- WMERT andaV ERNURE S ass ers ietlessia ca + os: biare Sul olpiaracs Rae oe Enea Juan Migliore, Fabrizio Zanello, The strength of the Weak Lef- schetz Property Kristel Mikkor, Aleksei Lissitsin, Eve Oja, Approximation properties defined by spaces of operators and approximability in op- TTC OT CTT ETTORE CC ROTC eee ee Maung Min-Oo, Marianty Ionel, Cohomogeneity one special La- grangian 3-folds in the deformed and the resolved conifolds.... Makoto Minamide, On zeros of the derivative of the three- dimensional Selberg zeta function Rahim Moosa, Anand Pillay, On canonical bases and internality criteria Raymond Mortini, Frédéric Bayart, Sophie Grivaux, Common bounded universal functions for composition operators ........ Hiroyuki Nakaoka, Structure of the Brauer ring of a field extension A. Neumann, M. AIJAli, Ch. Hering, On B-injectors of the cov- ering groups of A,, Ryo Nikkuni, Delta edge-homotopy invariants of spatial graphs via disk-summing the constituent knots..................00eeeeeee Eve Oja, Aleksei Lissitsin, Kristel Mikkor, Approximation properties defined by spaces of operators and approximability in op- IIS 655i sale Sousa aR ae AO me Adam Osekowski, Sharp LlogL inequalities for differentially subor- dinated martingales and harmonic functions................... Wiestaw Pawtucki, Lipschitz cell decomposition in o-minimal struc- tures I Giovanni Peccati, Mare Yor, Burkholder’s submartingales from a stochastic calculus perspective Anton Petrunin, Stephanie Alexander, Vitali Kapovitch, An optimal lower curvature bound for convex hypersurfaces in Rie- REIT SN IN ONON fe 5 cin oi0.5.0 ss wna cade euemem ne wane betes 1031 Anand Pillay, Rahim Moosa, On canonical bases and internality criteria 901 Sandra Pott, Oscar Blasco, Embeddings between operator-valued ESAT EDR O SILC 5:0 oS < iso's alee we awe blea cm cielo Asal are alec ee 799 Igor E. Pritsker, An areal analog of Mahler’s measure 347 Heydar Radjavi, Vladimir G. Troitsky, Invariant sublattices... 437 viii INDEX Benjamin P. Richert, Sindi Sabourin, The residuals of lex plus powers ideals and the Eisenbud—Green-Harris conjecture Pedro Roitman, Walterson Ferreira, A class of surfaces in H? x R associated to harmonic functions and a relation between CMC- DF a Iso Sanka esd Re nine Julio D. Rossi, Julidn Fernandez Bonder, Carola-Bibiane Sch6nlieb, The best constant and extremals of the Sobolev embeddings in domains with holes: The L® case.............. Oliver Roth, Eric Schippers, The Loewner and Hadamard varia- RRDTIS Uitytean heater een eke ARE a a Maen Ow eee ee ares Gabriel Ruiz-Hernandez, Helix, shadow boundary and minimal sth RASS Sch es eit cd to teat os ete re eto na aban ove Alexander Russell, Gorjan Alagic, Uncertainty principles for a aE te Oe ea eR Seer Te «hes Sindi Sabourin, Benjamin P. Richert, The residuals of lex plus powers ideals and the Eisenbud—Green—Harris conjecture Osamu Saeki, Yasushi Takeda, On 2-knots with total width eight Eric Schippers, Oliver Roth, The Loewner and Hadamard varia- PRUE eee simu sacnh is Seisuucianes enemoe anna gabmiacamnree meat Carola-Bibiane Schénlieb, Julian Fernandez Bonder, Julio D. Rossi, The best constant and extremals of the Sobolev embeddings in domains with holes: The L° case Nageswari Shanmugalingam, David Herron, Xiangdong Xie, Uniformity from Gromov hyperbolicity 1065 Joel H. Shapiro, Paul S. Bourdon, Intertwining relations and extended eigenvalues for analytic Toeplitz operators........... 1007 Pramod K. Sharma, Orbits of automorphisms of integral domains 645 Robert Sinclair, Kazuyuki Enomoto, Jin-ichi Itoh, The total absolute curvature of open curves in E? 47 Bartiomiej Siudeja, Scattering length for stable processes ........ 667 David Smith, On tilting modules over cluster-tilted algebras 1223 Steven Sperber, Alan Adolphson, On the zeta function of a pro- jective complete intersection 389 Jiri Spurny, The boundary problem for L,-preduals............... Jason Starr, A. J. de Jong, Erratum: Cubic fourfolds and spaces OPP A NIGMINCUMUCS te ..5 cle canes sie cto Be FO ete etiw einem ness Agnieszka Stocka, Czestaw Baginski, Finite groups with L-free LRU CES OM BU ETOMDS «cus «jasissiinrcalsieRseulalo aslarneee gieeews /noae s Ville Suomala, Upper porous measures on metric spaces .......... Laura Taalman, An exact sequence of weighted Nash complexes INDEX Huy Tai Ha, C.-Y. Jean Chan, Christine Cumming, Cohen Macaulay multigraded modules Yasushi Takeda, Osamu Saeki, On 2-knots with total width eight Wee-Kee Tang, Denny H. Leung, More mixed Tsirelson spaces that are not isomorphic to their modified versions............. Alberto Torchinsky, Wael Abu-Shammala, From dyadic A, to Ag Vladimir G. Troitsky, Heydar Radjavi, Invariant sublattices... Yoshimichi Ueda, Remarks on HNN extensions in operator algebras Mariusz Urbariski, Janina Kotus, Hausdorff dimension of radial and escaping points for transcendental meromorphic functions. Jeffrey D. Vaaler, Alan K. Haynes, Martingale differences and the metric theory of continued fractions...................006- C. Vernicos, B. Colbois, P. Verovic, Area of ideal triangles and Gromov hyperbolicity in Hilbert geometry P. Verovic, B. Colbois, C. Vernicos, Area of ideal triangles and Gromov hyperbolicity in Hilbert geometry Michaél Villani, Riesz transforms associated to Bessel operators .. Changyou Wang, Yifeng Yu, Aronsson’s equations on Carnot COMMER COOOL Y STIACORS o50 5.5). ss Sank Serge cWadetesdetauaueeleeeaes Xiaohua Wang, Shengyou Wen, Zhixiong Wen, Doubling measures and nonquasisymmetric maps on Whitney modification te Ti TN IR ii 6's 6 bis 8 cen CES AR aR Te Shengyou Wen, Xiaohua Wang, Zhixiong Wen, Doubling measures and nonquasisymmetric maps on Whitney modification A TRG ai sn a dace ve dinenvwniedcgewendwaen t Zhixiong Wen, Xiaohua Wang, Shengyou Wen, Doubling measures and nonquasisymmetric maps on Whitney modification HOCH P-IMCMCHINSPACORS «5.5 cosas coded nas cGasaclwmeetwemaera n 129] Xiangdong Xie, David Herron, Nageswari Shanmugalingam, Uniformity from Gromov hyperbolicity 1065 Marc Yor, Giovanni Peccati, Burkholder’s submartingales from a stochastic calculus perspective 815 Yifeng Yu, Changyou Wang, Aronsson’s equations on Carnot CAE ACHCMONY SDOCOM elec vn cs accnndinene naiidgekny eeaeceteeaw t ee Fabrizio Zanello, Juan Migliore, The strength of the Weak Lef- schetz Property