The Hardy space of a slit domain
Alexandru Aleman, Nathan S. Feldman, William T. RossThe book begins with an exposition of Hardy spaces of slit domains and then proceeds to several descriptions of the invariant subspaces of the operator multiplication by z. Along the way, we discuss and characterize the nearly invariant subspaces of these Hardy spaces and examine conditions for z-invariant subspaces to be cyclic. This work also makes important connections to model spaces for the standard backward shift operator as well as the de Branges spaces of entire functions. The book is written for a graduate student or professional with a reasonable knowledge of Hardy spaces of the disk and basic complex and functional analysis.
Κατηγορίες:
Έτος:
2009
Έκδοση:
1
Εκδότης:
Birkhäuser Basel
Γλώσσα:
english
Σελίδες:
143
ISBN 10:
3034600976
ISBN 13:
9783034600972
Σειρές:
Frontiers in Mathematics
Αρχείο:
PDF, 744 KB
IPFS:
,
english, 2009