Hardy classes and related spaces of analytic functions in the unit circle, polydisc, and the ball. (English) Zbl 0632.32005
Translation from Itogi Nauki Tekh., Ser. Mat. Anal. 23, 3-124 (Russian) (1985; Zbl 0603.32004).
MSC:
| 32A35 | \(H^p\)-spaces, Nevanlinna spaces of functions in several complex variables |
| 30D55 | \(H^p\)-classes (MSC2000) |
| 32A30 | Other generalizations of function theory of one complex variable |
| 32A40 | Boundary behavior of holomorphic functions of several complex variables |
| 32A38 | Algebras of holomorphic functions of several complex variables |
| 30H05 | Spaces of bounded analytic functions of one complex variable |
| 30D50 | Blaschke products, etc. (MSC2000) |
| 32E35 | Global boundary behavior of holomorphic functions of several complex variables |
| 32A25 | Integral representations; canonical kernels (Szegő, Bergman, etc.) |
| 32A05 | Power series, series of functions of several complex variables |
Keywords:
Hardy classes; spaces of analytic functions; BMOA; boundary values; harmonic majorants; integral representation; Taylor coefficientsCitations:
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