Ebook: Hardy Spaces

The theory of Hardy spaces is a cornerstone of modern analysis. It combines techniques
from functional analysis, the theory of analytic functions, and Lesbesgue integration to
create a powerful tool for many applications, pure and applied, from signal processing
and Fourier analysis to maximum modulus principles and the Riemann zeta function.
This book, aimed at beginning graduate students, introduces and develops the
classical results on Hardy spaces and applies them to fundamental concrete problems
in analysis. The results are illustrated with numerous solved exercises which also
introduce subsidiary topics and recent developments. The reader’s understanding of the
current state of the field, as well as its history, are further aided by engaging accounts of
the key players and by the surveys of recent advances (with commented reference lists)
that end each chapter. Such broad coverage makes this book the ideal source on Hardy
spaces.
Nikola¨ı Nikolski is Professor Emeritus at the Universit´e de Bordeaux working
primarily in analysis and operator theory. He has been co-editor of four international
journals and published numerous articles and research monographs. He has also
supervised some 30 PhD students, including three Salem Prize winners. Professor
Nikolski was elected Fellow of the AMS in 2013 and received the Prix Amp`ere of the
French Academy of Sciences in 2010.