Weakly Cyclic Vectors with a Given Modulus |
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Authors: | E S Dubtsov |
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Institution: | (1) St. Petersburg State University, Russia |
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Abstract: | Let Hp be the Hardy space in the polydisk. Denote by
the set of all holomorphic polynomials. A vector f ∈ Hp is called weakly cyclic if the product f
is weakly dense in Hp, 0 < p < 1. We construct weakly cyclic vectors with a prescribed lower semi-continuous modulus of the boundary values. Bibliography: 6 titles.__________Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 303, 2003, pp. 111–118. |
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Keywords: | |
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