A blend of classical and modern techniques and viewpoints, this text examines harmonic and subharmonic functions, the basic structure of Hp functions, applications, Taylor coefficients, Hp as a linear space, interpolation theory, the corona theorem, and more. Appropriate for researchers or 2nd- or 3rd-year graduate students. 1970 edition.
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This book is a classic,
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This review is from: Theory of Hp Spaces (Paperback)
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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extremal kernel, corona theorem, subordination theorem, dual extremal problem, singular inner function, analytic completion, harmonic majorant, growth and smoothness, rectifiable boundary, extremal function, radial limit, outer function, subharmonic functions, positive harmonic functions, maximal ideal space, maximal theorem, nontangential limit, canonical factorization, harmonic measure, interpolation theorem, leading blocks, zero functional, bounded analytic functions, residual set, convexity theorem Key Phrases - Capitalized Phrases (CAPs): (learn more)
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extremal kernel, corona theorem, subordination theorem, dual extremal problem, singular inner function, analytic completion, harmonic majorant, growth and smoothness, rectifiable boundary, extremal function, radial limit, outer function, subharmonic functions, positive harmonic functions, maximal ideal space, maximal theorem, nontangential limit, canonical factorization, harmonic measure, interpolation theorem, leading blocks, zero functional, bounded analytic functions, residual set, convexity theorem Key Phrases - Capitalized Phrases (CAPs): (learn more)
Closed Graph Theorem Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
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