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.
AuthorsOmar El-Fallah, Université Mohammed V-Agdal, Rabat, Morocco
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.
Karim Kellay, Université de Bordeaux
Karim Kellay is professor at Université Bordeaux 1, France. He is the author of 24 research articles and has supervised three doctoral students.
Javad Mashreghi, Université Laval, Québec
Javad Mashreghi is Professor of Mathematics at Université Laval in Québec. His main fields of interest are complex analysis, operator theory and harmonic analysis. He has given numerous graduate and undergraduate courses in different institutions in English, French and Persian. Mashreghi has published several research articles, three conference proceedings, two undergraduate textbooks in French and one graduate textbook, entitled Representation Theorems for Hardy Spaces (Cambridge University Press, 2009). He was awarded the prestigious G. de B. Robinson Award of CMS (Canadian Mathematical Society), a publication award, for two long research articles in the Canadian Journal of Mathematics.
Thomas Ransford, Université Laval, Québec
Thomas Ransford is holder of a senior-level Canada Research Chair at Université Laval in Québec. His main research interests are in complex analysis, functional analysis and potential theory. He is the author of Potential Theory in the Complex Plane (Cambridge University Press, 1995) and of more than 70 research articles. He has supervised nearly 40 graduate students and postdoctoral fellows.
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