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Pommerenke C. — Univalent functions (Studia mathematica)
Pommerenke C. — Univalent functions (Studia mathematica)



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Название: Univalent functions (Studia mathematica)

Автор: Pommerenke C.

Язык: en

Рубрика: Математика/Анализ/Комплексный анализ/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1975

Количество страниц: 376

Добавлена в каталог: 02.04.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Accessible prime end      277
Admissible $\lambda_k$      107
Admissible function      227
Admissible homotopy      227 252
Admissible set      227
Analytic capacity      340
Analytic green’s formula      15
Angular derivative      305 320 326
Angular limit      267 324 341
Area theorem      18 59 106
Asymptotic behaviour of coefficients      76 141
Asymptotic path      267
Asymptotic value      267
Bazilevic function      175
Beurling’s theorem      342
Bieberbach conjecture      24
Bieberbach — eilenberg function      101 105
Bloch function      268 270 305
Boundary distance      22 313 318
Boundary distortion      345 347
Bounded univalent function      23 98 133 171 204 347
Capacitable      338
Capacity      332
Capacity and measure      337
Capacity estimates      337
Capacity of image set      344 348 352
Capacity zero      339 342
Caratheodory boundary      272
Caratheodory kernel theorem      29
Carleman’s principle      349
Ciose-to-convex      51
Circle domain      221 235
Cluster set      276 269
Coefficient body      25
Coefficient estimates in      2 19 69 118 121 135 168 199 256
Coefficient estimates in s      20 25 72 75 86 120 131 165 195 254
Coefficient growth      75 131
Collingwood maximality theorem      276
Combination of coefficients      146
Compact grunsky operator      64 302
Compactification      273
Complex derivative (of a functional)      184 197
conformal      10 303 328
Conformal centre      12
Continuity at the boundary      279 295 298 301
Continuum      12
Contraction property      332
Convex function      44 47
Convex functional      180
Convex in the direction of the imag. Axis      53
Corner      304 311
Covering theorem      19 117 255
Critical point      209
Critical trajectory      213 222
Cross ratio      286
Crosscut      271 345
Cut point      280
Density domain      221 226 237
Difference of coefficients      81 124
Dini-continuous curvature      300
Dini-smooth curve      298 308
Dirichlet principle      289
Dirichlet problem      285
Disconjugate      176
Discriminant      331 351
Disjoint functions      91 258 260
End domain      221 236
Equivalent null-chains      272
Extremal domain      192
Extremal function      19 180
Extremal metric      210
Extreme point      181 183
Faber polynomial      57 85 137
Fabry gaps      154
Fatou point      323
Fatou’s theorem      319
Fekete points      331
Fekete polynomial      331
Finite critical point      209
Fitzgerald inequality      73
Function of maximal growth      141 311
Functional      180 197
Functional of degree n      184
Functional of finite degree      184
Gap conditions      149 151 152
Garabedian — schiffer coefficients      104
Garabedian — schiffer inequality      108
General coefficient theorem      246 252
Generalized bieberbach conjecture      27
Global structure theorem      221
Golusin inequality      64 99 287
Golusin variational method      185
Green’s formula      15
Green’s function      333
Growth of function      139 142 144
Grunsky coefficients      58 92 137
Grunsky inequality      60 93 106 200 287
Grunsky matrix      63
Grunsky operator      62 294 302
Hadamard convolution      49
Hadamard gaps      152
Hankel determinant      147
Hardy class      318
Hardy identity      125
Harmonic measure      313 352
Hausdorff measure      320 351
Herglotz representation formula      40
Homeomorphic extension      281 288
Homotopy into the identity      227
Impression      276
Inner capacity      338
Inner domain      33
Inner mapping radius      11
Integral means      126 319
Interior variation      190
Janiszewski’s theorem      31
Jenkins normalization      243
Jordan curve theorem      33
Jordan domain      33 281
Julia — wolff lemma      306
Kernel      28
Kernel convergence      28
Koebe arcs      267
Koebe distortion theorem      21
Koebe function      11
Koebe transform      21 314
Krein — Milman theorem      181
Lacunary series      148 174
Length distortion      316 341 350
Linear functional      194
Linear measure      320 328
Linearly accessible      51
Lipschitz condition      299
Locally connected      278
Loewner chain      157 172
Loewner differential equation      159 161
Loewner variation      185
Logarithmic derivative      66 129 168
Logarithmic measure      340
Marty normality criterion      262
Marty variation      189
Maximal growth      141 311
Maximum principle for normal functions      263
Measure and capacity      337
Measure of the image set      322 328
Milin — lebedev lemmas      78
Milloux’s problem      349
Moebius transformation      9
Multiply connected domain      5 259
Multivalent function      125 131
Neighbourhood of a prime end      272
Neumann problem      302
Non-euclidean segment      313
Normal form (of a quadr. Diff.)      211
Normal function      261
Normalization      11
Null-chain      272
Odd univalent function      19 86 167 204
Omitted value      103 117 118 201
Ordinary point      209
Orthogonal trajectory      214
Outer capacity      338
Outer domain      33
P-valent function      125
Plessner point      323
Plessner’s theorem      324
Poisson integral formula      295
Pole (of a quadratic differential)      209 222
Positive real part      39
Prime end      272
Prime end metric      351
Principal point      276
Principle of subordination      36
Privalov uniqueness theorem      325 341
Projection      337
Q-area      210 234 240
Q-length      210 224 231
Q-metric      210
Quadratic differential      115 208
Quasi-conformal curve      286 292 294 304
Quasi-conformal extension      289 292 346
Quasi-subordinate      36
Radial cluster set      276
Radial image      317
Radial limit      267 342
Radius of convexity      50 204
Radius of starlikeness      170
Real coefficients      25 54 203
Rectifiably accessible      318
Riemann mapping theorem      10
Riesz uniqueness theorem      319
Ring domain (rel. To quad, diff.)      221 235
Robertson conjecture      26 70
Rotation of the koebe function      12
Schiffer differential equation      190 198 228
Schoenflies theorem      282
Schwarzian derivative      67 176 294
Second variation      189
Smooth curve      295
Spherical derivative      261
Spirallike function      171
Starlike function      42 47 148 204
Stolz angle      267
Strip domain      221 236
Subadditivity of the capacity      339 346
Subordination      35 156 307 349
Symmetric function      23 171
Symmetrization      5
Tangent      295 302
Tauberian theorem      138 304
Three pole theorem      225
Topology of local uniform convergence      27 180
Trajectory      213
Trajectory arc      213
Transfinite diameter      332
Twist point      325
Typically real      54
Uncountably dense      309
Uniformly locally connected      283
Univalence criterion      13 172 177 179
Univalent      9
Variable domains      29 285
Variation      185
Variational method      180
Winding number      13
Zero (of a quadr. Diff.)      209
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