Defect operators, defect functions and defect indices for analytic submodules |
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Authors: | Kunyu Guo |
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Institution: | Department of Mathematics, Fudan University, Shanghai 200433, China |
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Abstract: | This paper mainly concerns defect operators and defect functions of Hardy submodules, Bergman submodules over the unit ball, and Hardy submodules over the polydisk. The defect operator (function) carries key information about operator theory (function theory) and structure of analytic submodules. The problem when a submodule has finite defect is attacked for both Hardy submodules and Bergman submodules. Our interest will be in submodules generated by polynomials. The reason for choosing such submodules is to understand the interaction of operator theory, function theory and algebraic geometry. |
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Keywords: | 47A13 47A20 46H25 46C99 |
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