Function theory : interpolation and corona problems
著者
書誌事項
Function theory : interpolation and corona problems
（Fields Institute monographs, 25）
American Mathematical Society , Fields Institute for Research in Mathematical Sciences, c2009
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注記
Bibliography: p. 199-200
Includes index
内容説明・目次
内容説明
These lecture notes take the reader from Lennart Carleson's first deep results on interpolation and corona problems in the unit disk to modern analogues in the disk and ball. The emphasis is on introducing the diverse array of techniques needed to attack these problems rather than producing an encyclopedic summary of achievements. Techniques from classical analysis and operator theory include duality, Blaschke product constructions, purely Hilbert space arguments, bounded mean oscillation, best approximation, boundedness of the Beurling transform, the Koszul complex, use of trees, the complete Pick property, and the Toeplitz corona theorem. An extensive appendix on background material in functional analysis and function theory on the disk is included for the reader's convenience.
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