Bounded Analytic Functions

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Springer Science & Business Media, Oct 17, 2006 - Mathematics - 463 pages

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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Contents

III
1
IV
5
V
10
VI
19
VII
27
VIII
32
IX
38
X
39
XLIV
228
XLV
234
XLVI
242
XLVII
246
XLVIII
259
XLIX
261
L
275
LI
285

XI
48
XII
51
XIII
55
XIV
61
XV
66
XVI
71
XVII
78
XVIII
83
XIX
84
XX
98
XXI
106
XXII
111
XXIII
118
XXIV
120
XXV
127
XXVI
128
XXVII
134
XXVIII
139
XXIX
145
XXX
151
XXXI
159
XXXII
168
XXXIV
176
XXXV
186
XXXVI
191
XXXVII
193
XXXVIII
198
XXXIX
205
XL
206
XLI
215
XLIII
223
LII
289
LIII
292
LIV
299
LV
304
LVI
305
LVII
309
LIX
314
LX
323
LXI
327
LXII
333
LXIII
338
LXIV
349
LXV
357
LXVI
358
LXVII
364
LXVIII
367
LXIX
369
LXX
375
LXXI
379
LXXII
384
LXXIII
385
LXXIV
391
LXXV
401
LXXVI
406
LXXVII
412
LXXVIII
418
LXXIX
428
LXXXI
434
LXXXII
453
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