TY - BOOK AU - El-Fallah, Omar AU - El-Fallah, Omar AU - Kellay, Karim; AU - Mashreghi, Javad AU - Ransford, Thomas TI - A Primer on the Dirichlet Space T2 - Cambridge tracts in mathematics, 203 SN - 9781107047525 U1 - 515.9 ELF PY - 2014/// CY - New York PB - : Cambridge University Press KW - Mathematics KW - Analysis KW - Dirichlet principle KW - Holomorphic functions KW - Functions of complex variables KW - Mathematics - Calculus KW - Mathematics - Mathematical Analysis N1 - Preface -- Basic notions -- Capacity -- Boundary behavior -- Zero sets -- Multipliers -- Conformal invariance -- Harmonically weighted Dirichlet spaces -- Invariant subspaces -- 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 N2 - The first systematic account of the Dirichlet space, one of the most fundamental Hilbert spaces of analytic functions ER -