Theory of Hp Spaces | 
 enlarge | Author: Peter L. Duren
Publisher: Dover Publications
Category: Book
List Price: $10.95
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Avg. Customer Rating:  1 reviews
Sales Rank: 146863
Format: Unabridged
Media: Paperback
Edition: Unabridged
Number Of Items: 1
Pages: 272
Shipping Weight (lbs): 0.6
Dimensions (in): 8.3 x 5.3 x 0.6
ISBN: 0486411842
Dewey Decimal Number: 515.73
EAN: 9780486411842
ASIN: 0486411842
Publication Date: April 11, 2000
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Product Description
A blend of classical and modern techniques and viewpoints, this text examines harmonic and subharmonic functions, the basic structure of Hp functions, applications, conjugate functions, and mean growth and smoothness. Other subjects include Taylor coefficients, Hp as a linear space, interpolation theory, the corona theorem, and more. Information on Rademacher functions and maximal theorems appears in the appendixes. Essentially self-contained, with a list of exercises in each chapter, this text is appropriate for researchers or second- or third-year graduate students.1970 ed.
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| Customer Reviews:
This book is a classic April 28, 2001
9 out of 9 found this review helpful
The first edition of this book appeared about thirty years ago and unfortunately wasn't very popular as a textbook because of its limited availability. This new edition makes it possible for many readers (including me) to own it at last. The book is written from the viewpoint of classical analysis and is as fresh now as it was 30 years ago despite huge progress made in this area during the last decades. Both organization and selection of material is excellent and introduces the reader to one of the most beautiful mathematical theories created in 20th century. The author took his time and wrote a very informative Supplement. It not just covers the newest developments in the theory of Hardy spaces and problems solved in last thirty years, but also gives very good idea about newest directions which grew up from this theory. This book definitely should be recommended to any student who wants to specialize in the theory Banach spaces of analytic or harmonic functions.
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