Annales Academię Scientiarum Fennicę
Mathematica
Volumen 37, 2012, 635-648

HANKEL OPERATORS ON LARGE WEIGHTED BERGMAN SPACES

Petros Galanopoulos and Jordi Pau

Aristotle University of Thessaloniki, School of Mathematics
54124 Thessaloniki, Greece; galanopoulos_petros 'at' yahoo.gr

Universitat de Barcelona, Departament de Matemątica Aplicada i Analisi
Gran Via de les Corts Catalanes, 585, 08007 Barcelona, Spain; jordi.pau 'at' ub.edu

Abstract. We completely describe the boundedness, compactness and membership in Schatten p-classes of the (big) Hankel operator with conjugate analytic symbols on large weighted Bergman spaces.

2010 Mathematics Subject Classification: Primary 30H20, 47B10, 47B35.

Key words: Bergman spaces, Hankel operators, Schatten classes.

Reference to this article: P. Galanopoulos and J. Pau: Hankel operators on large weighted Bergman spaces. Ann. Acad. Sci. Fenn. Math. 37 (2012), 635-648.

Full document as PDF file

doi:10.5186/aasfm.2012.3739

Copyright © 2012 by Academia Scientiarum Fennica