Bemerkung zu der Abhandlung On the theory of Riemann's Integrals" by H. F. Baker. Bd. 45, der Mathem. Annalen
Bemerkung zu der Arbeit im Bande 75 Seite 177 dieses Journals.
Bemerkung zu der in No. 10 dieser Nachrichten abgedruckten Mittheilung des Herrn Weierstrass
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)
Bemerkungen über äquivalente Potenzreihen von Funktionen mit einem gewissen Stetigkeitsmodul.
Bemerkungen zum Riemannschen Problem.
Bemerkungen zum Weierstrass'schen Doppelreihensatz und zur Theorie der gleichmässig convergenten Reihen
Bérenger/Maxwell with Discontinous Absorptions : Existence, Perfection, and No Loss
We analyse Bérenger’s split algorithm applied to the system version of the two dimensional wave equation with absorptions equal to Heaviside functions of , . The methods form the core of the analysis [11] for three dimensional Maxwell equations with absorptions not necessarily piecewise constant. The split problem is well posed, has no loss of derivatives (for divergence free data in the case of Maxwell), and is perfectly matched.
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.
Berichtigung zu "Zur Theorie der eindeutigen analytischen Functionen".
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.
Besicovitch's circle pairs, analytic capacity, and Cauchy integrals for a class of unrectifiable 1-sets.
Best constants for metric space inversion inequalities
For every metric space (X, d) and origin o ∈ X, we show the inequality I o(x, y) ≤ 2d o(x, y), where I o(x, y) = d(x, y)/d(x, o)d(y, o) is the metric space inversion semimetric, d o is a metric subordinate to I o, and x, y ∈ X o The constant 2 is best possible.
Best lambda-Approximation for Entire Functions of Finite Order