Extremum Problems for Bounded Univalent FunctionsOlli TammiI. Generated functions 1. Introduction 2. Löwner-functions 3. Generalized Löwner-functions 4. A generalization of the class S(b) 5. Functions with bounded boundary rotation II. Variation of the extremum function 1. Variation of Green's function 2. The Schiffer-condition for S(b)-functions 3. The coefficient a3 III. The area principle 1. The power inequality 2. Application to the coefficient a3 and a4 3. Optimization of parameters for...

Classification Theory of Riemannian ManifoldsLeo Sario, Mitsuru Nakai, Cecilia Wang, Lung Ock ChungPreface and historical note O. Laplace-Beltrami operator I. Harmonic functions II. Quasiharmonic functions III. Bounded biharmonic functions IV. Dirichlet finite biharmonic functions V. Bounded Dirichlet finite biharmonic functions VI. Harmonic, quasiharmonic, and biharmonic degeneracies VII. Riesz representation of biharmonic functions VIII. Biharmonic Green’s function γ IX. Biharmonic Green’...

Topics in Nevanlinna TheorySerge Lang, William CherryI. Nevanlinna theory in one variable II. Equidimensional higher dimensional theory III. Nevanlinna Theory for Meromorphic Functions on Coverings of C IV. Equidimensional Nevanlinna Theory on Coverings of Cn

Conformal Geometry and Quasiregular MappingsMatti VuorinenI. Conformal geometry II. Modulus and capacity III. Quasiregular mappings IV. Boundary behavior

Diophantine Approximations and Value Distribution TheoryPaul Vojta1. Heights and Integral Points 2. Diophantine Approximations 3. A Correspondence with Nevanlinna Theory 4. Consequences of the Main Conjecture 5. The Ramification Term 6. Approximation to Hyperplanes

Quasiconformal Mappings in the PlaneJulian Ławrynowicz, Jan KrzyzI. Basic concepts and theorems in the analytic theory of quasiconformal mappings II. The parametrical methods III. A review of variational methods and basic applications in electrical engineering

Integral Operators in Potential TheoryJosef Král1. Weak normal derivatives of potentials 2. Double layer potentials 3. Contractivity of Neumann's operator 4. Fredholm radius of the Neumann operator 5. Boundary value problems 6. Comments and references

Dirichlet Integrals on Harmonic SpacesFumi-Yuki Maeda1. Harmonic spaces 2. Superharmonic functions and potentials 3. Gradient measures 4. Self-adjoint harmonic spaces and Green potentials 5. Energy-finite harmonic functions and Green's formula 6. Spaces of Dirichlet-finite and Energy-finite Functions on Self-adjoint Harmonic Spaces 7. Functional completion 8. Royden boundary

Abstract Analytic Function Theory and Hardy AlgebrasKlaus Barbey, Heinz KönigI. Boundary value theory for harmonic and holomorphic functions in the unit disk II. Function algebras: The bounded-measurable situation III. Function algebras: The compact-continuous situation IV. The abstract Hardy algebra situation V. Elements of abstract Hardy algebra theory VI. The abstract conjugation VII. Analytic disks and isomorphisms with the unit disk situation VIII. Weak compactness of M IX. Logmodular dens...

Analytically Uniform Spaces and their Applications to Convolution EquationsCarlos A. Berenstein, Milos A. DostalI. Definition and basic properties of analytically uniform spaces II. Examples of AU-spaces III. Spaces of approximate solutions to certain convolution equations IV. The fundamental principle

Lectures on n-Dimensional Quasiconformal MappingsJussi Väisälä1. The modulus of a curve family 2. Quasiconformal mappings 3. Background in real analysis 4. The analytic properties of quasiconformal mappings 5. Mapping problems

Singular IntegralsUmberto NeriPart I. Singular Integrals: An Introduction I. Convolutions II. Fourier transforms III. The Hilbert Transform IV. Singular integrals in En Part II. Singular Integral Operators and Distributions I. Distributions and Fourier transforms II. Singular integrals and Sobolev spaces III. Spherical harmonics IV. Singular integral operators

On the Pointwise Convergence of Fourier SeriesCharles J. Mozzochi1. A theorem of Stein and Weiss 2. The main theorem 3. A proof of theorem (2.2) 4. A proof of theorem (3.6) 5. A proof of theorem (4.2) 6. A proof of theorem (5.2)

Lectures on SummabilityA. PeyerimhoffIntroductory remarks I. Cesàro means II. Matrix transformations III. Tauberian theorems IV. Hausdorff and Nörlund summability

Riemann Surfaces, Theta Functions, and Abelian Automorphisms GroupsRobert D.M. AccolaPart I Part II Part III

Harmonische Räume und ihre PotentialtheorieHeinz BauerI. Harmonische Räume II. Superharmonische Funktionen und Potentiale III. Balayage-Theorie IV. Dirichletsche Problem V. Zerlengungs- und Fortsetzungssatz

Potential TheoryJohn Wermer2. Electrostatics 3. Poisson's Equation 4. Fundamental Solutions 5. Capacity 6. Energy 7. Existence of the Equilibrium Potential 8. Maximum Principle for Potentials 9. Uniqueness of the Equilibrium Potential 10. The Cone Condition 11. Singularities of Bounded Harmonic Functions 12. Green's Function 13. The Kelvin Transform 14. Perron's Method 15. Barriers 16. Kellogg's Theorem 17. The Riesz Decomposition Theorem 18. Applications of the Riesz Decomposition 19. Appendix

The cos πλ TheoremMatts R. Essén1. The Hellsten-Kjellberg-Norstad inequality 2. The cos πλ -theorem 3. A generalization of the Ahlfors-Heins theorem 4. The Paley conjecture 5. A cos πλ -problem an da differential inequality 6. A counterexample 7. Proof of theorem 5.2 8. Two consequences of a theorem of A. Baernstein 9. On two theorems of A. Baernstein 10. References