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Identifier 000368473
Title Mobius αναλλοίωτοι χώροι αναλυτικών συναρτήσεων / Κώστας Ελευθερίου Παντερής.
Alternative Title Mobius Invariant Spaces of Analytic Functions
Author Παντερής, Κων/νος Ελευθέριος.
Thesis advisor Παπαδημητράκης, Μιχάλης
Abstract This master thesis consists of five chapters, including introduction. In chapter 2, Mobius invariant function spaces are defined, examples of such spaces are listed and some general propositions are proved. In chapter 3, the minimal Mobius invariant function space M is presented along with the basic theorems concerning this space. Chapter 4 is dedicated to the composition operator defined in a Mobius invariant function space. Results related to conditions under which a composition operator maps a Mobius invariant function space to itself are proved. Finally, in chapter 5, the focus is on the study of composition operator in the minimal Mobius invariant function space M and there are proofs of results related to when this operator maps M to M. 1
Language Greek
Subject Analytic function space
BMOA space
Besov space
Blaschke product
Bloch space
Carleson measure
Carleson μέτρα
Composition operator
Hardy space
Minimal space
Mobius function
Mobius function group
Mobius invariant space
Mobius αναλλοίωτος χώρος
Mobius συνάρτηση
Γινόμενο Blaschke
Ελάχιστος χώρος
Ομάδα συναρτήσεων Mobius
Τελεστής σύνθεσης
Χώρος BMOA
Χώρος Besov
Χώρος Bloch
Χώρος Hardy
Χώρος αναλυτικών συναρτήσεων
Issue date 2011-07-15
Collection   School/Department--School of Sciences and Engineering--Department of Mathematics--Post-graduate theses
  Type of Work--Post-graduate theses
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