Bounded Analytic Functions

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This book is an account of the theory of Hardy spaces in one dimension, with emphasis on some of the exciting developments of the past two decades or so. The last seven of the ten chapters are devoted in the main to these recent developments. The motif of the theory of Hardy spaces is the interplay between real, complex, and abstract analysis. While paying proper attention to each of the three aspects, the author has underscored the effectiveness of the methods coming from real analysis, many of them developed as part of a program to extend the theory to Euclidean spaces, where the complex methods are not available.

Author(s): John Garnett
Series: Graduate texts in mathematics 236
Edition: Revised 1st.
Publisher: Springer Verlag Gmbh
Year: 2006

Language: English
Pages: 470

front-matter.pdf......Page 1
1.pdf......Page 12
2.pdf......Page 59
3.pdf......Page 109
4.pdf......Page 138
5.pdf......Page 187
6.pdf......Page 226
7.pdf......Page 286
8.pdf......Page 320
9.pdf......Page 375
10.pdf......Page 402
back-matter.pdf......Page 445