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A Primer on the Dirichlet Space

Omar El-Fallah, Karim Kellay, Javad Mashreghi, and Thomas Ransford
Publisher: 
Cambridge University Press
Publication Date: 
2014
Number of Pages: 
211
Format: 
Hardcover
Series: 
Cambridge Tracts in Mathematics 203
Price: 
70.00
ISBN: 
9781107047525
Category: 
Monograph
We do not plan to review this book.

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.