Geodesic
Admissible functions for the Dirichlet space
Javad Mashreghi 1   ; Mahmood Shabankhah 2
1 Département de mathématiques et de statistique Université Laval Québec, QC, Canada G1K 7P4
2 CMI, LATP Université de Provence 39, Rue F. Joliot-Curie 13453 Marseille Cedex 13, France
Studia Mathematica, Tome 198 (2010) no. 2, pp. 147-156 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Zero sets and uniqueness sets of the classical Dirichlet space $\mathcal{D}$ are not completely characterized yet. We define the concept of admissible functions for the Dirichlet space and then apply them to obtain a new class of zero sets for $\mathcal{D}$. Then we discuss the relation between the zero sets of $\mathcal{D}$ and those of $\mathcal{A}^\infty$.
DOI : 10.4064/sm198-2-3
Keywords: zero sets uniqueness sets classical dirichlet space mathcal completely characterized yet define concept admissible functions dirichlet space apply obtain class zero sets mathcal discuss relation between zero sets mathcal those mathcal infty

Javad Mashreghi  1   ; Mahmood Shabankhah  2

1 Département de mathématiques et de statistique Université Laval Québec, QC, Canada G1K 7P4
2 CMI, LATP Université de Provence 39, Rue F. Joliot-Curie 13453 Marseille Cedex 13, France 
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Javad Mashreghi; Mahmood Shabankhah. Admissible functions for the Dirichlet space. Studia Mathematica, Tome 198 (2010) no. 2, pp. 147-156. doi: 10.4064/sm198-2-3

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