Omar El-Fallah, Karim Kellay (Universite de Bordeaux), Javad Mashreghi (Quebec Universite Laval)

A Primer on the Dirichlet Space

• Gebundenes Buch

Produktbeschreibung

This systematic account of the Dirichlet space provides an introduction that will be valuable to researchers in function theory, assembling results previously only found in scattered research articles. Containing more than 100 exercises, the book is also suitable for self-study by graduate students in mathematics.

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Produktdetails

• Cambridge Tracts in Mathematics
• Verlag: Cambridge University Press
• Seitenzahl: 226
• Erscheinungstermin: 19. Dezember 2014
• Englisch
• Abmessung: 235mm x 157mm x 17mm
• Gewicht: 482g
• ISBN-13: 9781107047525
• ISBN-10: 1107047528
• Artikelnr.: 39507477

Autorenporträt

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.

Inhaltsangabe

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.