We introduce two spaces of holomorphic functions on the disk that play a role in the Dirichlet space theory similar to the roles of H 1 and BMO in the classical Hardy space theory. We develop some basic function- and operator-theoretic results for those spaces.
N. Arcozzi, R. Rochberg, E. Sawyer, B. Wick (2011). Function spaces related to the Dirichlet space. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY, 83, 1-18 [10.1112/jlms/jdq053].
Function spaces related to the Dirichlet space
ARCOZZI, NICOLA;
2011
Abstract
We introduce two spaces of holomorphic functions on the disk that play a role in the Dirichlet space theory similar to the roles of H 1 and BMO in the classical Hardy space theory. We develop some basic function- and operator-theoretic results for those spaces.File in questo prodotto:
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