Ebook Info
- Published: 2014
- Number of pages: 227 pages
- Format: PDF
- File Size: 1.19 MB
- Authors: Omar El-Fallah
Description
The Dirichlet space is one of the three fundamental Hilbert spaces of holomorphic functions on the unit disk. It boasts a rich and beautiful theory, yet at the same time remains a source of challenging open problems and a subject of active mathematical research. This book is the first systematic account of the Dirichlet space, assembling results previously only found in scattered research articles, and improving upon many of the proofs. Topics treated include: the Douglas and Carleson formulas for the Dirichlet integral, reproducing kernels, boundary behaviour and capacity, zero sets and uniqueness sets, multipliers, interpolation, Carleson measures, composition operators, local Dirichlet spaces, shift-invariant subspaces, and cyclicity. Special features include a self-contained treatment of capacity, including the strong-type inequality. The book will be valuable to researchers in function theory, and with over 100 exercises it is also suitable for self-study by graduate students.
User’s Reviews
Reviews from Amazon users which were colected at the time this book was published on the website:
⭐
⭐
⭐
⭐
⭐
⭐
⭐
⭐
⭐
Keywords
Free Download A Primer on the Dirichlet Space (Cambridge Tracts in Mathematics Book 203) 1st Edition in PDF format
A Primer on the Dirichlet Space (Cambridge Tracts in Mathematics Book 203) 1st Edition PDF Free Download
Download A Primer on the Dirichlet Space (Cambridge Tracts in Mathematics Book 203) 1st Edition 2014 PDF Free
A Primer on the Dirichlet Space (Cambridge Tracts in Mathematics Book 203) 1st Edition 2014 PDF Free Download
Download A Primer on the Dirichlet Space (Cambridge Tracts in Mathematics Book 203) 1st Edition PDF
Free Download Ebook A Primer on the Dirichlet Space (Cambridge Tracts in Mathematics Book 203) 1st Edition