TY  - BOOK
AU  - Krantz, Steven G.
TI  - Geometric function theory: explorations in complex analysis
SN  - 9780817643393
U1  - 516 
PY  - 2006///
CY  - Boston
PB  - Birkhauser
KW  - Functions of complex variables
KW  - Geometric function theory
KW  - Harmonic analysis
KW  - Mathematics
N1  - pt. I. Classical function theory
1. Invariant geometry --
2. Variations on the theme of the Schwarz Lemma --
3. Normal families --
4. The Riemann mapping theorem and its generalizations --
5. Boundary regularity of conformal maps --
6. The boundary behavior of holomorphic functions --
pt. II. Real and harmonic analysis
7. The Cauchy-Riemann equations --
8. The Green's function and the Poisson kernel --
9. Harmonic measure --
10. Conjugate functions and the Hilbert transform --
11. Wolff's proof of the Corona theorem --
pt. III. Algebraic topics
12. Automorphism groups of domains in the plane --
13. Cousin problems, cohomology, and sheaves
ER  -