A property of univalent functions in A_{p}
Copyright policy )A property of univalent functions in A_{p}
The univalent functions in the diagonal Besov space A_{p}, where 1<p<\infty , 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.
- Maynooth University Ireland
diagonal Besov spaces, univalent functions, General theory of univalent and multivalent functions of one complex variable, Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems, 510, 004
diagonal Besov spaces, univalent functions, General theory of univalent and multivalent functions of one complex variable, Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems, 510, 004
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