Please use this identifier to cite or link to this item: http://hdl.handle.net/2445/96825
 Title: A characterization of bilinear forms on the dirichlet space Author: Cascante, Ma. Carme (Maria Carme)Ortega Aramburu, Joaquín M. Keywords: Teoria del potencial (Matemàtica)Teoria d'operadorsOperadors linealsPotential theory (Mathematics)Operator theoryLinear operators Issue Date: Jul-2012 Publisher: American Mathematical Society (AMS) Abstract: 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 $L_2^1(\mathbb{R}^n)$. Note: Reproducció del document publicat a: http://dx.doi.org/10.1090/S0002-9939-2011-11409-6 It is part of: Proceedings of the American Mathematical Society, 2012, vol. 140, num. 7, p. 2429-2440 URI: http://hdl.handle.net/2445/96825 Related resource: http://dx.doi.org/10.1090/S0002-9939-2011-11409-6 ISSN: 0002-9939 Appears in Collections: Articles publicats en revistes (Matemàtiques i Informàtica)

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