Hardy Spaces on the Euclidean Space

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Akihito Uchiyama
Springer, Jul 1, 2001 - Mathematics - 305 pages
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"Still waters run deep." This proverb expresses exactly how a mathematician Akihito Uchiyama and his works were. He was not celebrated except in the field of harmonic analysis, and indeed he never wanted that. He suddenly passed away in summer of 1997 at the age of 48. However, nowadays his contributions to the fields of harmonic analysis and real analysis are permeating through various fields of analysis deep and wide. One could write several papers explaining his contributions and how they have been absorbed into these fields, developed, and used in further breakthroughs. Peter W. Jones (Professor of Yale University) says in his special contribution to this book that Uchiyama's decomposition of BMO functions is considered to be the Mount Everest of Hardy space theory. This book is based on the draft, which the author Akihito Uchiyama had completed by 1990. It deals with the theory of real Hardy spaces on the n-dimensional Euclidean space. Here the author explains scrupulously some of important results on Hardy spaces by real-variable methods, in particular, the atomic decomposition of elements in Hardy spaces and his constructive proof of the Fefferman-Stein decomposition of BMO functions into the sum of a bounded?function and Riesz transforms of bounded functions.
  

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Contents

IV
1
V
13
VI
29
VII
39
VIII
51
IX
61
X
71
XI
83
XXI
173
XXII
177
XXIII
183
XXIV
187
XXV
191
XXVI
201
XXVII
223
XXVIII
229

XII
101
XIII
109
XIV
111
XV
121
XVI
129
XVII
135
XVIII
145
XIX
161
XX
167
XXIX
241
XXX
253
XXXI
281
XXXII
285
XXXIII
289
XXXIV
293
XXXV
303
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Importacao de Publicacoes Tecnicas sob Demanda - Livros Revista Normas - HARDY SPACES ON THE EUCLIDEAN SPACE.
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Uchiyama Akihito: Hardy Spaces On The Euclidean Space | ISBN ...
Hardy Spaces On The Euclidean Space. The author explains some results on Hardy spaces by real-variable methods, in particular the atomic decomposition of ...
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Bonami, Iwaniec, Jones: On the Product of Functions in <span class ...
[61] ------ , Hardy spaces on the Euclidean space, Springer Monographs in Mathemat- ics, Springer-Verlag, Tokyo, 2001, xiv+305 pages. ...
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