Bi-Lipschitz Concordance Implies Bi-Lipschitz Isotopy.
Bilipschitz embeddings of metric spaces into euclidean spaces.
When does a metric space admit a bilipschitz embedding into some finite-dimensional Euclidean space? There does not seem to be a simple answer to this question. Results of Assouad [A1], [A2], [A3] do provide a simple answer if one permits some small ("snowflake") deformations of the metric, but unfortunately these deformations immediately disrupt some basic aspects of geometry and analysis, like rectifiability, differentiability, and curves of finite length. Here we discuss a (somewhat technical)...
Bilipschitz extensions from smooth manifolds.
We prove that every compact C1-submanifold of Rn, with or without boundary, has the bilipschitz extension property in Rn.
Bilipschitz Extensions of Maps Having Quasiconformal Extensions.
Bilipschitz maps and the modulus of rings.
Billards en polygones et groupes fuchsiens
Blaschke inductive limits of uniform algebras.
Blaschke product generated covering surfaces
It is known that, under very general conditions, Blaschke products generate branched covering surfaces of the Riemann sphere. We are presenting here a method of finding fundamental domains of such coverings and we are studying the corresponding groups of covering transformations.
Blaschke-Folgen und Carleson-Mengen.
Bloch Constants for Meromorphic Functions.
Bloch functions in several complex variables. II.
Bloch, Hardy, and BMOA spaces in the ball.
Blow-up of solutions to a periodic nonlinear dispersive rod equation.
BMO-invariance of quasiminimizers.
Borel summability beyond the factorial growth
Boundaries of unbounded Fatou components of entire functions.
Boundary approach filters for analytic functions
Let be the class of bounded analytic functions on , and let be the set of maximal ideals of the algebra , a compactification of . The relations between functions in and their cluster values on are studied. Let be the subset of over the point 1. A subset of is a “Fatou set” if every in has a limit at for almost every . The nontangential subset of is a Fatou set according to the Fatou theorem. There are many larger Fatou sets, for example the fine topology subset of but...
Boundary asymptotics of the relative Bergman kernel metric for hyperelliptic curves
We survey variations of the Bergman kernel and their asymptotic behaviors at degeneration. For a Legendre family of elliptic curves, the curvature form of the relative Bergman kernel metric is equal to the Poincaré metric on ℂ 0,1. The cases of other elliptic curves are either the same or trivial. Two proofs depending on elliptic functions’ special properties and Abelian differentials’ Taylor expansions are discussed, respectively. For a holomorphic family of hyperelliptic nodal or cuspidal curves...
Boundary behavior and Cesàro means of universal Taylor series.
We study boundary properties of universal Taylor series. We prove that if f is a universal Taylor series on the open unit disk, then there exists a residual subset G of the unit circle such that f is unbounded on all radii with endpoints in G. We also study the effect of summability methods on universal Taylor series. In particular, we show that a Taylor series is universal if and only if its Cesàro means are universal.
Boundary Behavior of Subharmonic Functions on the Unit Disk