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The Dirichlet space: a survey.

Arcozzi, Nicola, Rochberg, Richard, Sawyer, Eric T., Wick, Brett D. (2011)

The New York Journal of Mathematics [electronic only]

Unbounded Hermitian operators and relative reproducing kernel Hilbert space

Palle Jorgensen (2010)

Open Mathematics

We study unbounded Hermitian operators with dense domain in Hilbert space. As is known, the obstruction for a Hermitian operator to be selfadjoint or to have selfadjoint extensions is measured by a pair of deficiency indices, and associated deficiency spaces; but in practical problems, the direct computation of these indices can be difficult. Instead, in this paper we identify additional structures that throw light on the problem. We will attack the problem of computing deficiency spaces for a single...

Universal interpolating sequences on some function spaces

Bahmann Yousefi, B. Tabatabaie (2005)

Czechoslovak Mathematical Journal

Let H ( K ) be the Hilbert space with reproducing kernel K . This paper characterizes some sufficient conditions for a sequence to be a universal interpolating sequence for H ( K ) .

Weighted sub-Bergman Hilbert spaces in the unit disk

Ali Abkar, B. Jafarzadeh (2010)

Czechoslovak Mathematical Journal

We study sub-Bergman Hilbert spaces in the weighted Bergman space A α 2 . We generalize the results already obtained by Kehe Zhu for the standard Bergman space A 2 .

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