Geodesic
A property of univalent functions inA_{p}
Glasgow mathematical journal, Tome 42 (2000) no. 1, pp. 121-124

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The univalent functions in the diagonalBesov space A_{p}, where 1<p<\infty ,are characterized in terms of the distance from the boundary of a point in theimage domain. Here A_{2} is the Dirichlet space. A consequenceis that there exist functions in A_{p},\ p>2, for which thearea of the complement of the image of the unit disc iszero.1991 Mathematics Subject Classification 30C99, 46E35. 
Walsh, David. A property of univalent functions inA_{p}. Glasgow mathematical journal, Tome 42 (2000) no. 1, pp. 121-124. doi: 10.1017/S0017089500010144
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