# name
A characterization of bilinear forms on the dirichlet space

# metadata.dc.description.abstract[].value
Arcozzi, Rochberg, Sawyer and Wick obtained a characterization of the holomorphic functions $b$ such that the Hankel type bilinear form $T_{b}(f,g)=\int_{\mathbb{D}}(I+R)(f,g)(z)\overline{(I+R)b(z)}dv (z) $ is bounded on $ {\mathcal D}\times {\mathcal D}$, where $ {\mathcal D}$ is the Dirichlet space. In this paper we give an alternative proof of this characterization which tries to understand the similarity with the results of Maz$ '$ya and Verbitsky relative to the Schrödinger forms on the Sobolev spaces $ L_2^1(\mathbb{R}^n)$.

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Proceedings of the American Mathematical Society, 2012, vol. 140, num. 7, p. 2429-2440

# metadata.dc.rights[].value
(c) American Mathematical Society (AMS), 2012

# metadata.dc.source[].value
Articles publicats en revistes (Matemàtiques i Informàtica)

# metadata.dc.title[].value
A characterization of bilinear forms on the dirichlet space