Function theory : interpolation and corona problems /

"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 produci...

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Autor Principal: Sawyer, E. T. 1951-
Formato: Libro
Idioma:English
Publicado: Providence, R.I. : Toronto, Ont. : American Mathematical Society ; Fields Institute for Research in Mathematical Sciences, c2009.
Series:Fields Institute monographs ; 25.
Materias:
Acceso en línea:Table of contents
Página web con información sobre el libro
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245 1 0 |a Function theory :  |b interpolation and corona problems /  |c Eric T. Sawyer. 
260 |a Providence, R.I. :  |b American Mathematical Society ;  |a Toronto, Ont. :  |b Fields Institute for Research in Mathematical Sciences,  |c c2009. 
300 |a ix, 203 p. ;  |c 27 cm. 
490 1 |a Fields Institute monographs ;  |v 25 
504 |a Incluye referencias bibliográficas (p. 199-200) e índice. 
520 |a "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, estimates on solutions to the $ bar partial$ equation, 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."--Contratapa. 
510 4 |a MR,  |c 2010c:30071 
020 |a 9780821847343 (alk. paper) 
020 |a 0821847341 (alk. paper) 
100 1 |a Sawyer, E. T.  |q (Eric T.),  |d 1951- 
830 0 |a Fields Institute monographs ;  |v 25. 
650 0 |a Functional analysis. 
650 0 |a Interpolation. 
084 |a 30H80 (30E05 30H10 32A37 42B30 46E20 46J15 47B35)  |2 msc2010 
010 |a  2008047418 
016 7 |a 014910019  |2 Uk 
040 |a DLC  |c DLC  |d BTCTA  |d YDXCP  |d C#P  |d UKM  |d BWX  |d CDX  |d DLC 
856 4 1 |3 Table of contents  |u http://www.loc.gov/catdir/toc/fy1001/2008047418.html 
856 |u http://www.ams.org/bookpages/fim-25  |y Página web con información sobre el libro 
859 |h 30  |i Sa271  |p A-8759  |b BIB. MATEMATICA