Theory of Hp Spaces

Front Cover
Courier Corporation, Jan 1, 2000 - Mathematics - 292 pages
A blend of classical and modern techniques and viewpoints, this text examines harmonic and subharmonic functions, the basic structure of Hp functions, applications, conjugate functions, and mean growth and smoothness. Other subjects include Taylor coefficients, Hp as a linear space, interpolation theory, the corona theorem, and more. Information on Rademacher functions and maximal theorems appears in the appendixes. Essentially self-contained, with a list of exercises in each chapter, this text is appropriate for researchers or second- or third-year graduate students. 1970 edition.
 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

HARMON1C AND SUBHARMON1C FUNCT1ONS
1
z BAS1C STRUCTURE OF H FUNCT1ONS
15
APPLICAT1ONS
33
CONJUGATE FUNCT1ONS
62
MEAN GROWTH AND SMOOTHNESS
71
TAYLOR COEFF1C1ENTS
93
Ht AS A L1NEAR SPACE
109
EXTREMAL PROBLEMS
129
H SPACES OVER A HALFPLANE
188
THE CORONA THEOREM
201
Appendix A Rademacher Functions
221
Appendix B Maximal Theorems
231
Supplement Developments Since 1970237
237
References
255
Supplementary References
271
Author 1ndex
287

1NTERPOLAT1ON THEORY
147
U SPACES OVER GENERAL DOMA1NS
167

Common terms and phrases

Popular passages

Page 259 - Schwarz's lemma and the Szegö kernel function. Trans. Amer. Math. Soc. 67 (1949), 1-35. Gaudry, G. l. [1] Я' multipliers and inequalities of Hardy and Littlewood.
Page 263 - Z. Nehari, The Schwarzian derivative and schlicht functions. Bull. Amer. Math. Soc. 55 (1949), 545-551. MR 10, 696.
Page 283 - Rubel and AL Shields, The second duals of certain spaces of analytic functions. J. Austral. Math. Soc. 11 (1970), 276-280.

Bibliographic information