Carleson measures for analytic Besov spaces: the upper triangle case.
The Hessian of the distance from a surface in the Heisenberg group.
Topics in dyadic Dirichlet spaces.
The Dirichlet space: a survey.
Carleson measures for analytic Besov spaces.
We characterize Carleson measures for the analytic Besov spaces. The problem is first reduced to a discrete question involving measures on trees which is then solved. Applications are given to multipliers for the Besov spaces and to the determination of interpolating sequences. The discrete theorem is also applied to analysis of function space on trees.
Some Hilbert spaces related with the Dirichlet space
We study the reproducing kernel Hilbert space with kernel kd , where d is a positive integer and k is the reproducing kernel of the analytic Dirichlet space.
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