scholarly journals Asymptotic Markov inequality on Jordan arcs

2017 ◽  
Vol 208 (3) ◽  
pp. 413-432
Author(s):  
V Totik
Keyword(s):  
Markov Inequality ◽  
Jordan Arcs

scholarly journals Some Remarks on Boundary Behavior of Analytic and Meromorphic Functions

1955 ◽  
Vol 9 ◽  
pp. 79-85 ◽  
Author(s):  
F. Bagemihl ◽  
W. Seidel
Keyword(s):  
Meromorphic Function ◽  
Uniqueness Theorem ◽  
Meromorphic Functions ◽  
Boundary Behavior ◽  
Regular Function ◽  
Simple Manner ◽  
Regular Functions ◽  
Almost All ◽  
Jordan Arcs

This paper is concerned with regular and meromorphic functions in |z| < 1 and their behavior near |z| = 1. Among the results obtained are the following. In section 2 we prove the existence of a non-constant meromorphic function that tends to zero at every point of |z| = 1 along almost all chords of |z| < 1 terminating in that point. Section 3 deals with the impossibility of ex tending this result to regular functions. In section 4 it is shown that a regular function can tend to infinity along every member of a set of spirals approach ing |z| = 1 and exhausting |z| < 1 in a simple manner. Finally, in section 5 we prove that this set of spirals cannot be replaced by an exhaustive set of Jordan arcs terminating in points of |z| = 1; Theorem 3 of this section can be interpreted as a uniqueness theorem for meromorphic functions.

scholarly journals On the Markov inequality in LP-spaces

1990 ◽  
Vol 62 (2) ◽  
pp. 197-205 ◽  
Author(s):  
P Goetgheluck
Keyword(s):  
Markov Inequality ◽  
Lp Spaces

EXPLICIT RATIONAL FUNCTIONS WHOSE JULIA SETS ARE JORDAN ARCS

2004 ◽  
Vol 69 (03) ◽  
pp. 676-692
Author(s):  
CLEMENS INNINGER ◽  
FRANZ PEHERSTORFER
Keyword(s):  
Julia Sets ◽  
Rational Functions ◽  
Jordan Arcs

scholarly journals On Jordan ARCS and Lipschitz classes of functions defined on them

1961 ◽  
Vol 106 (1-2) ◽  
pp. 113-136 ◽  
Author(s):  
A. S. Besicovitch ◽  
I. J. Schoenberg
Keyword(s):  
Lipschitz Classes ◽  
Jordan Arcs
Sign in / Sign up

Export Citation Format

Share Document