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1.

図書
図書
1. Abstract analytic function theory and Hardy algebras (: Berlin ; : New York)
Klaus Barbey, Heinz König
出版情報: Berlin ; New York : Springer-Verlag, 1977  vii, 260 p. ; 25 cm
シリーズ名: Lecture notes in mathematics ; 593
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2.

図書
図書
2. Hardy spaces on homogeneous groups (pbk.)
by G.B. Folland and E.M. Stein
出版情報: Princeton, N.J. : Princeton University Press , [Tokyo] : University of Tokyo Press, 1982  284 p. ; 24 cm
シリーズ名: Mathematical notes ; 28
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3.

図書
図書
3. Function theory on planar domains : a second course in complex analysis
Stephen D. Fisher
出版情報: New York : Wiley, c1983  xiii, 269 p. ; 24 cm
シリーズ名: Pure and applied mathematics
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目次情報: 続きを見る
Notation and Numbering
The Dirichlet Problem and Harmonic Measure / 1：
Introduction / 1.1：
The Poisson Formula and Some Preliminaries / 1.2：
Subharmonic Functions / 1.3：
Solution of the Dirichlet Problem / 1.4：
The Green's Function of a Domain / 1.5：
Harmonic Measure / 1.6：
Logarithmic Capacity / 1.7：
Additional Readings and Notes
Exercises
Uniformization and Conditional Expectation / 2：
The Uniformization Theorem / 2.1：
Conditional Expectation and the Space N / 2.3：
Harmonic Measure and L[superscript 1]/[Characters not reproducible] / 2.4：
The Hardy Spaces H[superscript p]([Omega]) / 3：
Basic Properties of H[superscript p]([Omega]) / 3.1.：
H[superscript p] on the Unit Disc / 3.3.：
H[superscript p] and H[superscript p]([Omega]) / 3.4.：
Null Sets and Essential Boundary Points for H[superscript Infinity]([Omega]) / 3.5.：
H[superscript p]([Omega]) Determines [Omega] / 3.6.：
Weak Peak Points for H[superscript Infinity]([Omega]) / 3.7.：
Domains of Finite Connectivity / 4：
The Defect of ReR([Omega]) in C[subscript 1]([Gamma]) / 4.1：
Measures Orthogonal to R([Omega]) / 4.3：
H[superscript p]([Omega]) / 4.4：
N Again / 4.5：
Functions with Periods / 4.6：
The Factorization of H[superscript p]([Omega]) Functions / 4.7：
Blaschke Products, Inner Functions, and Extremal Problems / 5：
The Ahlfors Function / 5.1：
Blaschke Products / 5.2：
Approximation by Inner Functions / 5.3：
Pick-Nevanlinna Interpolation / 5.4：
Interpolation Sequences / 5.5：
The Maximum Principle for Multiple-Valued Bounded Analytic Functions / 5.6：
The Maximal Ideal Space of H[superscript Infinity]([Omega]) / 6：
Peak Points and Parts / 6.1：
The Fibers of M([Omega]) / 6.3：
Distinguished Homomorphisms / 6.4：
The Shilov Boundary of H[superscript Infinity]([Omega]) / 6.5：
The Corona Theorem / 6.6：
Linear Operators on H[superscript p] Spaces / 7：
The Isometries of H[superscript p]([Omega]) / 7.1：
Self-Mappings of a Domain / 7.2：
General Properties of Composition Operators / 7.3：
Compact Composition Operators on H[superscript Infinity]([Omega]) / 7.4：
Optimal Estimation and Widths of Spaces of Holomorphic Functions: Part 1. The H[superscript Infinity] Case / 7.5：
Optimal Estimation and Widths of Spaces of Holomorphic Functions: Part 2. The H[superscript 2] Case / 7.6：
Bibliography
Index
Notation and Numbering
The Dirichlet Problem and Harmonic Measure / 1：
Introduction / 1.1：
4.

図書
図書
4. The backward shift on the Hardy space
Joseph A. Cima, William T. Ross
出版情報: Providence, R.I. : American Mathematical Society, c2000  xi, 199 p. ; 27 cm
シリーズ名: Mathematical surveys and monographs ; v. 79
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5.

図書
図書
5. Introduction to H[p] spaces. 2nd ed., corr. and augm (: hb)
Paul Koosis ; with two appendices by V.P. Havin
出版情報: Cambridge : Cambridge University Press, 1998  xiv, 287 p. ; 24 cm
シリーズ名: Cambridge tracts in mathematics ; 115
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目次情報: 続きを見る
Preface
Preface to the first edition
Rudiments / 1：
Theorem of the brothers Reisz / 2：
Introduction to the space H1
Elementary boundary behaviour theory for analytic functions / 3：
Application of Jensens formula / 4：
Factorisation into a product of inner and outer functions
Norm inequalities for harmonic conjugation / 5：
Hp spaces for the upper half plane / 6：
Duality for Hp spaces / 7：
Application of the Hardy-Littlewood maximal function / 8：
Interpolation / 9：
Functions of bounded mean oscillation / 10：
Wolffs proof of the Corona theorem / 11：
Jones interpolation formula / Appendix I：
Weak completeness of the space L1/H1(0) / Appendix II：
Bibliography
Index
Preface
Preface to the first edition
Rudiments / 1：
6.

図書
図書
6. Four lectures on real H[p] spaces
Shanzhen Lu
出版情報: Singapore : World Scientific, c1995  vii, 217 p. ; 23 cm
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7.

図書
図書
7. Theory of H[p] spaces
Peter L. Duren
出版情報: New York ; Tokyo : Academic Press, 1970  xii, 258 p. ; 24 cm
シリーズ名: Pure and applied mathematics ; v. 38
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8.

図書
図書
8. Martingale Hardy spaces and their applications in Fourier analysis (: us ; : gw)
Ferenc Weisz
出版情報: Berlin ; New York : Springer-Verlag, c1994  viii, 217 p. ; 24 cm
シリーズ名: Lecture notes in mathematics ; 1568
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9.

図書
図書
9. Clifford wavelets, singular integrals, and Hardy spaces (: us ; : gw)
Marius Mitrea
出版情報: Berlin ; New York : Springer-Verlag, c1994  xi, 116 p. ; 24 cm
シリーズ名: Lecture notes in mathematics ; 1575
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10.

図書
図書
10. Function theory on planar domains : a second course in complex analysis (: pbk)
Stephen D. Fisher
出版情報: Mineola, N.Y. : Dover Publications, 2007  xiii, 269 p. ; 24 cm
シリーズ名: Dover books on mathematics
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目次情報: 続きを見る
Notation and Numbering
The Dirichlet Problem and Harmonic Measure / 1：
Introduction / 1.1：
The Poisson Formula and Some Preliminaries / 1.2：
Subharmonic Functions / 1.3：
Solution of the Dirichlet Problem / 1.4：
The Green's Function of a Domain / 1.5：
Harmonic Measure / 1.6：
Logarithmic Capacity / 1.7：
Additional Readings and Notes
Exercises
Uniformization and Conditional Expectation / 2：
The Uniformization Theorem / 2.1：
Conditional Expectation and the Space N / 2.3：
Harmonic Measure and L[superscript 1]/[Characters not reproducible] / 2.4：
The Hardy Spaces H[superscript p]([Omega]) / 3：
Basic Properties of H[superscript p]([Omega]) / 3.1.：
H[superscript p] on the Unit Disc / 3.3.：
H[superscript p] and H[superscript p]([Omega]) / 3.4.：
Null Sets and Essential Boundary Points for H[superscript Infinity]([Omega]) / 3.5.：
H[superscript p]([Omega]) Determines [Omega] / 3.6.：
Weak Peak Points for H[superscript Infinity]([Omega]) / 3.7.：
Domains of Finite Connectivity / 4：
The Defect of ReR([Omega]) in C[subscript 1]([Gamma]) / 4.1：
Measures Orthogonal to R([Omega]) / 4.3：
H[superscript p]([Omega]) / 4.4：
N Again / 4.5：
Functions with Periods / 4.6：
The Factorization of H[superscript p]([Omega]) Functions / 4.7：
Blaschke Products, Inner Functions, and Extremal Problems / 5：
The Ahlfors Function / 5.1：
Blaschke Products / 5.2：
Approximation by Inner Functions / 5.3：
Pick-Nevanlinna Interpolation / 5.4：
Interpolation Sequences / 5.5：
The Maximum Principle for Multiple-Valued Bounded Analytic Functions / 5.6：
The Maximal Ideal Space of H[superscript Infinity]([Omega]) / 6：
Peak Points and Parts / 6.1：
The Fibers of M([Omega]) / 6.3：
Distinguished Homomorphisms / 6.4：
The Shilov Boundary of H[superscript Infinity]([Omega]) / 6.5：
The Corona Theorem / 6.6：
Linear Operators on H[superscript p] Spaces / 7：
The Isometries of H[superscript p]([Omega]) / 7.1：
Self-Mappings of a Domain / 7.2：
General Properties of Composition Operators / 7.3：
Compact Composition Operators on H[superscript Infinity]([Omega]) / 7.4：
Optimal Estimation and Widths of Spaces of Holomorphic Functions: Part 1. The H[superscript Infinity] Case / 7.5：
Optimal Estimation and Widths of Spaces of Holomorphic Functions: Part 2. The H[superscript 2] Case / 7.6：
Bibliography
Index
Notation and Numbering
The Dirichlet Problem and Harmonic Measure / 1：
Introduction / 1.1：
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