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.
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