TY  - BOOK
AU  - El-Fallah,Omar
AU  - Kellay,Karim
AU  - Mashreghi,Javad
AU  - Ransford,Thomas
TI  - Primer on the Dirichlet space
T2  - Cambridge tracts in mathematics
SN  - 9781107047525 (hardback)
U1  - 515.9 23
PY  - 2014///
CY  - Cambridge
PB  - CUP
KW  - Dirichlet principle
KW  - Hilbert space
KW  - Holomorphic functions
KW  - Functions of complex variables
KW  - Dirichlet-Raum
N1  - Includes bibliographical references (pages 197-203) and indexes; 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
N2  - The first systematic account of the Dirichlet space, one of the most fundamental Hilbert spaces of analytic functions
ER  -