scholarly journals On mother body measures with algebraic Cauchy transform

2016 ◽  
Vol 62 (1) ◽  
pp. 117-142 ◽  
Author(s):  
Rikard Bøgvad ◽  
Boris Shapiro
Keyword(s):  
Cauchy Transform

Compact commutators of the Cauchy transform

2010 ◽  
Vol 76 (1-2) ◽  
pp. 165-171
Author(s):  
Shmuel Kantorovitz
Keyword(s):  
Cauchy Transform

STARLIKENESS AND CONVEXITY OF CAUCHY TRANSFORMS ON REGULAR POLYGONS

2020 ◽  
pp. 1-12
Author(s):  
PENG-FEI ZHANG ◽  
XIN-HAN DONG
Keyword(s):  
Lebesgue Measure ◽  
Cauchy Transform ◽  
Two Dimensional ◽  
Regular Polygons ◽  
Cauchy Transforms ◽  
Dimensional Lebesgue Measure

Abstract For $n\geq 3$ , let $Q_n\subset \mathbb {C}$ be an arbitrary regular n-sided polygon. We prove that the Cauchy transform $F_{Q_n}$ of the normalised two-dimensional Lebesgue measure on $Q_n$ is univalent and starlike but not convex in $\widehat {\mathbb {C}}\setminus Q_n$ .

Minkowski Dimension and Cauchy Transform in Clifford Analysis

2007 ◽  
Vol 1 (3) ◽  
pp. 301-305 ◽  
Author(s):  
Ricardo Abreu Blaya ◽  
Juan Bory Reyes ◽  
Tania Moreno García
Keyword(s):  
Clifford Analysis ◽  
Cauchy Transform ◽  
Minkowski Dimension

The Cauchy Transform

2005 ◽  
pp. 79-111 ◽  
Author(s):  
Joseph A. Cima ◽  
Alec Matheson ◽  
William T. Ross
Keyword(s):  
Cauchy Transform
Sign in / Sign up

Export Citation Format

Share Document