Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4619073 | Journal of Mathematical Analysis and Applications | 2010 | 9 Pages |
Abstract
We show that Toeplitz or small Hankel operators with symbols in L∞,1 is a generalization of the case with the harmonic symbol in , where D is the Dirichlet space on D. We also give a decomposition theorem for the Sobolev space of first order on D. Using this result, some characterizations for algebraic properties of Toeplitz or small Hankel operators with symbols in L∞,1 are given.
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