Function Theory: Interpolation and Corona Problems - Couverture rigide

Sawyer, Eric T.

Couverture rigide

ISBN 10 : 0821847341 ISBN 13 : 9780821847343

Editeur : American Mathematical Society, 2009

Synopsis

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.

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 2009
• Langue: anglais
• ISBN 10: 0821847341
• ISBN 13: 9780821847343
• Reliure: Relié
• Nombre de pages: 203
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible