Banach Spaces of Locally Schlicht Functions with the Hornich Operations.
Barbilian's metrization procedure in the plane yields either Riemannian or Lagrange generalized metrics
In the present paper we answer two questions raised by Barbilian in 1960. First, we study how far can the hypothesis of Barbilian's metrization procedure can be relaxed. Then, we prove that Barbilian's metrization procedure in the plane generates either Riemannian metrics or Lagrance generalized metrics not reducible to Finslerian or Langrangian metrics.
Bazilevic functions of type beta.
Behavior of quasiregular semigroups near attracting fixed points.
Beltrami equations with coefficient in the Sobolev space W1,p.
Bemerkung zu meiner Arbeit: Über das Randverhalten der Ableitung der Abbildungsfunktion bei konformer Abbildung
Bemerkung zur Theorie der schlichten Funktionen.
Bemerkung zur vorstehenden Note von Herrn S.Warschawski (S. 669)
Bergman completeness of Zalcman type domains
We give an equivalent condition for Bergman completeness of Zalcman type domains. This also solves a problem stated by Pflug.
Bergman coordinates
Various incarnations of Stefan Bergman's notion of representative coordinates will be given that are useful in a variety of contexts. Bergman wanted his coordinates to map to canonical regions, but they fail to do this for multiply connected regions. We show, however, that it is possible to define generalized Bergman coordinates that map multiply connected domains to quadrature domains which satisfy a long list of desirable properties, making them excellent candidates to be called Bergman representative...
Berichtigung zu dem Nachtrag meiner Arbeit: Zum Schwarzschen Lemma.
Bernstein and De Giorgi type problems: new results via a geometric approach
We use a Poincaré type formula and level set analysis to detect one-dimensional symmetry of stable solutions of possibly degenerate or singular elliptic equations of the formOur setting is very general and, as particular cases, we obtain new proofs of a conjecture of De Giorgi for phase transitions in and and of the Bernstein problem on the flatness of minimal area graphs in . A one-dimensional symmetry result in the half-space is also obtained as a byproduct of our analysis. Our approach...
Bernstein classes
One of the classical Bernstein inequalities compares the maxima of a polynomial of a given degree on the interval [-1,1] and on the ellipse in the complex plane with the focuses -1, 1 and the semiaxes . We prove a similar inequality for a branch of an algebraic function of a given degree on the maximal disk of its regularity, with the explicitly given constant, depending on the degree only. In particular, this improves a recent inequality of Fefferman and Narasimhan and answers one of their questions....
Berührungsmaße nullwinklige Kreisbogendreiecke und die Modulfigur.
Beta-numbers whose conjugates lie near the unit circle
Bieberbachova domněnka
Bilateral isoperimetric inequalities for boundary moments of plane domains.
BiLipschitz approximations of quasiconformal maps.
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)...