A Bitangential Interpolation Problem on the Closed Unit Ball for Multipliers of the Arveson Space |
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| Authors: | Joseph A. Ball Vladimir Bolotnikov |
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| Affiliation: | (1) Department of Mathematics, Virginia Polytechnic Institute, Blacksburg, VA 24061-0123, USA. E-mail: ball@calvin.math.vt.edu, US;(2) Department of Mathematics, The College of William and Mary, Williamsburg, VA 23187-8795, USA. E-mail: vladi@math.wm.edu, US |
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| Abstract: | We solve a bitangential interpolation problem for contractive multipliers on the Arveson space with an arbitrary interpolating set in the closed unit ball . The solvability criterion is established in terms of positive kernels. The set of all solutions is parametrized by a Redheffer transform. Submitted: February 2, 2002. |
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| Keywords: | Mathematics Subject Classification (2000).Primary 47A57 Secondary 30E05.?. Arveson space, multipliers, unitary extensions. |
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