Dirichlet Space and Related Function Spaces
Nicola Arcozzi, Richard Rochberg, Eric T. Sawyer, Brett D. Wick
Inbunden, 2019
1 989 kr
Del i serien Fields Institute Monographs
Function Theory
Interpolation and Corona Problems
Inbunden, Engelska, 2009
1 219 kr
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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.
Produktinformation
- Utgivningsdatum2009-02-28
- Vikt550 g
- FormatInbunden
- SpråkEngelska
- SerieFields Institute Monographs
- Antal sidor203
- FörlagAmerican Mathematical Society
- ISBN9780821847343
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