• A property of univalent functi...

Result: A property of univalent functions in A_{p}: A property of univalent functions in \(A_p\)

Title:
A property of univalent functions in A_{p}: A property of univalent functions in \(A_p\)
Authors:
Walsh, David
Source:
Glasgow Mathematical Journal. 42:121-124
Publisher Information:
Cambridge University Press (CUP), 2000.
Publication Year:
2000
Subject Terms:
diagonal Besov spaces, univalent functions, 4. Education, General theory of univalent and multivalent functions of one complex variable, 0101 mathematics, Sobolev spaces and other spaces of ''smooth' functions, embedding theorems, trace theorems, 01 natural sciences
Document Type:
Academic journal Article
File Description:
application/xml; text
Language:
English
ISSN:
1469-509X
0017-0895
DOI:
10.1017/s0017089500010144
Access URL:
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/C23BDAF0FE3908C7EFF5314758CC55E3/S0017089500010144a.pdf/div-class-title-a-property-of-univalent-functions-in-span-class-italic-a-p-span-div.pdf
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0017089500010144
https://mural.maynoothuniversity.ie/id/eprint/14717/
Rights:
Cambridge Core User Agreement
CC BY NC SA
Accession Number:
edsair.doi.dedup.....cc670dc9ece8f2ea6fca6ac48cf00ebc
Database:
OpenAIRE

Further Information

The univalent functions in the diagonal Besov space A_{p}, where 1, are characterized in terms of the distance from the boundary of a point in the image domain. Here A_{2} is the Dirichlet space. A consequence is that there exist functions in A_{p},\ p>2, for which the area of the complement of the image of the unit disc is zero.1991 Mathematics Subject Classification 30C99, 46E35.