cauchy transform
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L-theory for Cauchy-transform on the unit disk

2021 ◽  
pp. 109337
Author(s):  
David Kalaj ◽  
Petar Melentijević ◽  
Jian-Feng Zhu
Keyword(s):  
Unit Disk ◽  
Cauchy Transform

scholarly journals Norm estimates of the Cauchy transform and related operators

2020 ◽  
Vol 279 (9) ◽  
pp. 108726
Author(s):  
Jian-Feng Zhu ◽  
David Kalaj
Keyword(s):  
Cauchy Transform ◽  
Norm Estimates

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 $\widehat {\mathbb {C}}\setminus Q_n$ .

scholarly journals On asymptotic behavior of fractional Cauchy transform

2019 ◽  
Vol 9 (2) ◽  
pp. 809-820
Author(s):  
Igor Chyzhykov ◽  
Galyna Beregova
Keyword(s):  
Asymptotic Behavior ◽  
Cauchy Transform

scholarly journals A family of singular integral operators which control the Cauchy transform

2019 ◽  
Vol 294 (3-4) ◽  
pp. 1283-1340
Author(s):  
Petr Chunaev ◽  
Joan Mateu ◽  
Xavier Tolsa
Keyword(s):  
Singular Integral ◽  
Integral Operators ◽  
Singular Integral Operators ◽  
Cauchy Transform
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