Primer on the Dirichlet Space

The first systematic account of the Dirichlet space, one of the most fundamental Hilbert spaces of analytic functions.

List of contents

Preface; 1. Basic notions; 2. Capacity; 3. Boundary behavior; 4. Zero sets; 5. Multipliers; 6. Conformal invariance; 7. Harmonically weighted Dirichlet spaces; 8. Invariant subspaces; 9. Cyclicity; Appendix A. Hardy spaces; Appendix B. The Hardy-Littlewood maximal function; Appendix C. Positive definite matrices; Appendix D. Regularization and the rising-sun lemma; References; Index of notation; Index.

About the author

Omar El-Fallah is professor at Université Mohammed V-Agdal in Rabat, Morocco. He has published more than twenty research articles and has supervised eight doctoral students.

Product details

• Authors: Omar El Fallah, Omar El-Fallah, Omar Kellay El-Fallah, Karim Kellay, Karim (Universite de Bordeaux) Kellay, Javad Mashreghi, Javad (Universite Laval Mashreghi, Thomas (Universite Laval Ransford
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 16.01.2014
• EAN: 9781107047525
• ISBN: 978-1-107-04752-5
• No. of pages: 226
• Series: Cambridge Tracts in Mathematic
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Analysis