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Lawrynowicz J., Krzyz J. — Quasiconformal Mappings in the Plane: Parametncal Methods
Lawrynowicz J., Krzyz J. — Quasiconformal Mappings in the Plane: Parametncal Methods

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Название: Quasiconformal Mappings in the Plane: Parametncal Methods

Авторы: Lawrynowicz J., Krzyz J.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1983

Количество страниц: 177

Добавлена в каталог: 18.08.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Absolute continuity on lines      6
ACL      2 6
Agard, S. and Gehring, F.W.      51[1]
Ahlfors, L.V.      III[5] IV[2 5] 5[5] 12[5] 14[5] 34[5] 37 48 49[1 7] 50[2 52[2 5] 54[5] 84[3] 91[3] 117[5 8] 118[6] 125 135[2] 150[2] 152[2]
Ahlfors, L.V. and Bers, L.      IV[1] 37[1] 48[1] 54[1] 125[1] 135[1]
Ahlfors, L.V. and Beurling, A.      50[1 2]
Ahlfors, L.V. and Weill, G.      117[1]
Analyticity of a functional      128 129
angle      52
Arc, boundary      49
Arc, Jordan      1
Arc, locally rectifiable      50
Arzela., C.      42
Ascoli, G.      42
Banach, S.      57 63
Baumgarten, H.      117
Becker, J.      117[1—6]
Becker, J. and Pommerenke, C.      117[1]
Behnke, H. and Sommer, F.      2[1] 47[1]
Belinskii, P.P.      IV[1 38 52[1] 135[1 2] 136[1] 138[1] 139[2]
Belinskii, P.P. and Pesin, I.N.      38[1]
Beltrami, E.      12[1] 31 37 98 117 118
Bers, L.      IV 12[1] 37 38 48[1 3] 54 125 135[4] 150[2] 155[5]
Bers, L. and Nirenberg, L.      38[1]
Beurling, A.      50
Biluta, P.A.      139
Blaar, H.      117
Bojarski, B.      III[2] 12[1 2] 33[1 2] 34 38[1 2] 45[2] 109 117 118
Bojarski, B. and Iwaniec, T.      45[1]
Borel, E.      7—9 50
Calderon, A.P. and Zygmund, A.      III[2] 16[2] 24[1 2 3] 31[2] 109[2] 146
Capacity      159 160
Caratheodory, C.      38 46[1] 69[2] 71 78 80 82
Cauchy, A.      57 60 120
Chain rule for the distributional derivatives      37
Characterizations of qc or Q-qc mappings: analytic      5 48—49
Characterizations of qc or Q-qc mappings: analytic geometric      50—51
Characterizations of qc or Q-qc mappings: analytic metric      51—52
Characterizations of qc or Q-qc mappings: analytic without specifying Q      52
Cheng Bao-long      52[1] 135[1]
Coddington, E.A. and Levinson, N.      69[1]
Coefficient of electric conductivity      160
Collingwood, E.F. and Lohwater, A.J.      46[1]
Condenser      159
Condenser plates      159
Condition, orthogonality      81
Continuation of a Q-qc homeomorphism to the boundary      44
Continuity of a functional      127
Convergence, almost uniform      2
Courant, R.      IV[1] 46[2] 47[2]
Curve, Jordan      1
Curve, locally rectifiable      50
Delimiting lasers      162
Derivative, Gateaux, of a functional      135
Derivatives, directional      4
Derivatives, distributional LP-      8
Dielectric displacement      160
Dielectric displacement polarization      160
Diffeomorphism      4
Diffeomorphism, quasiconformal      4
Differential, quadratic      IV 149 150
Dilatation of the diffeomorphism at a point      4
Dilatation, $R_{f}$      144
Dilatation, circular      51
Dilatation, complex      12
Dilatation, maximal, of a Q-qc mapping      4—5
Distance, hyperbolic      50 51
Distortion of cilcular neighbourhoods and angles under Q-qc mappings      51
Distortion of hyperbolic area under Q-qc mappings      116
Distortion, area, under Q-qc mappings      109—116
Distortion, line(ar), under Q-qc mappings      94—108
Dittmar, B.      38[1] 117
Domain, canonical      46
Domain, canonical circular      46
Domain, canonical on a Riemann surface      151
Domain, circular      46
Domain, fundamental      151
Domain, Jordan      1
Domain, parallel slit      47
Duren, P.L. and Lehto, O.      117[1]
Egoroff, D.P.      9
Electric conductivity      160
Electric current-density      157 160
Electric induction      157
Electric permeability      156 157 160
Electric permeability, relative      157
Electric susceptibility      160
Electric susceptibility, entire      160
Equation, differential, Beltrami      12
Equation, integral, Tricomi      31
Equation, parametrical      63 73 81 86 99
Equations of motion for charged particles      156
Equations, Maxwell      157
Equimeasurable functions      109
Extension      see Continuation and Mapping conformal with
Extremal length      50
Fait, Maria, Krzyz, J. and Jadwiga Zygmunt      117[1]
Fan Le-le      115 116
Form, normal, of Klein      151
Formula, Green's      8
Fubini, G.      7 12
Function absolutely continuous on lines      6
Function locally LP      7
Function multiplicatively convex      18
Function of forces      157 160
Function, Borel      8
Function, comparison      135
Function, convex      18
Functional, analytic      128 129
Functional, continuous      127
Functional, differentiable in the sense of Gateaux      135
Functions, equimeasurable      109
Gaeteaux, R.      135 141 147—149
Gauss, C.F.      III[1] 34[1]
Gehring, F.W.      IV 5[2] 8 34[5] 48 49[2] 50 51[1] 52[2] 53 54[3] 109 116[4]
Gehring, F.W. and Lehto, O.      5[1] 8[1] 48[1]
Gehring, F.W. and Reich, E.      IV[1] 53[1] 54[1] 109[1]
Gehring, F.W. and vaeisaeiae, J.      50[1] 51[1]
Genus of a surface      151
Goektuerk, Zerrin      117[1] 131[1] 134[1]
Gol'dstein, V.M.      34[1] 109[1]
Golusin, G.M.      III[1] IV[2] 48[2]
Goursat, E.      36[1] 69[1] 144[1]
Graves, L.M.      6[1]
Green, G.      8 13—16 26 27 29 35 58 83 161
Groetzsch H.      III 4[1] 149[1 2] 150[1]
Group, Fuchsian      152
Group, Fuchsian, of a Riemann surface      152
Group, fundamental      151 162
Grunsky, H.      133
Gutljanskii, V. Ja.      155[1—3]
Gutljanskii, V. Ja. and Scepetev, V.A.      155[1—2]
Hadamard, J.      IV[1]
Hahn, O.      150
Hamilton, R.S.      85[1] 154[1]
Harrington, A.N.      160[1]
Hersch, J.      51[1]
Hersch, J. and Pfluger, A.      51[1] 106[1]
Hilbert, D.      III 119
Hoelder, O.      12 17—23 30 33 40—42 58—60 138
Homeomorphism, Q-qc      5 48
Homeomorphism, Q-qc, of the closure of a domain bounded by disjoint Jordan curves      5
Homeomorphism, sense-preserving      3
Homotopy of topological mappings      III 53 152
Hoy, E.      117
Huebner, O.      106[1]
Identity of the Fuchsian groups of Riemann surfaces      152
Inequality of Calderon — Zygmund      24
Inequality of Grunsky      133
Intensity of electric current      160
Intensity of the electric field      156
Intensity of the magnetic field      157
interval      1
Iwaniec, T.      IV 45
Jacobian      4
Jordan, C.      1 3—5 13 36 38 46 49—52 123 124 144 148 158 159 161 162
Julia, G.      IV[1]
Kelingos, J.      51[1] 109[2] 116[2]
Klein, F.      151
Koebe, P.      107 134 151
Komatu, Y.      III[1]
Kronecker, L.      95
Kruskal, S.L.      IV[1—8] 53[1] 117[6] 135[5 8] 136[4 7] 139[7 8] 150[3 8] 154[4]
Krzyz, J.      50[2] 52 102[1] 117[3 4] 136 155[1]
Krzyz, J. and Lawrynowicz, J.      52[1]
Krzyz, J. and Soni, A.K.      117[1]
Kuehnau, R.      IV[1—15] 94[9] 117[1-13] 133[2 3 5] 134[2 10] 155[1—13] 157 160
Kuehnau, R. and Baumgarten, H.      117[1]
Kuehnau, R. and Blaar, H.      117[1]
Kuehnau, R. and Dittmar, B.      117[1]
Kuehnau, R. and Hoy, E.      117[1]
Kuehnau, R. and Niske, W.      117[1]
Kuehnau, R. and Thuring, B.      117[1]
Kuehnau, R. and Timmel, J.      117[1]
Laurent, P.      122 128
Lavrentieff, M.A.      III[2] 4[1] 34[2] 51[1 2]
Lawrynowicz, J.      IV 45[1] 46[1] 52[3] 53[1 2] 54[5] 67[1 5] 73[5] 80[6 8] 85[7 8] 88[1] 94[4] 98[4] 101[6] 104[4] 106[3] 139[9] 140[4] 160
Layers, delimiting      162
Lebesgue, H.      1 18 69
Lehto, O.      III IV[3—6] 4 5 8 12[2] 15 25 34[1] 40 48 102 106 108 117[3—8] 118[4 7] 123 124[7] 125[6 7] 126[7] 127 128[4 6] 130—132 145[6] 155
Lehto, O. and Tammi, O.      117[1]
Lehto, O. and Virtanen, K.I.      III[1 2] 4[1 2] 5[1] 21 12[1 2] 15[1 2] 25[1 2] 35[1 2] 2] 102[1 2] 126[1 2] 127[1 2] 155[1 2]
Length, extremal      50
Levinson, N.      69
Lichtenstein, L.      III[1] 34[1]
Lines of force      158 160
Lines, equipotential      158
Liouville, J.      42
Loewner, K.      III[1]
Lohwater, A.J.      46
Magnetic induction      156 160
Magnetic induction, entire      160
Magnetic permeability      156 160
Magnetic shells      162
magnetic susceptibility      160
Magnetic susceptibility, entire      160
magnetization      160
Mapping, conformal, of the closure of a domain bounded by disjoint Jordan curves      5
Mapping, conformal, with a qc extension      116—134
Mapping, differentiable      4
Mapping, differentiable at a point      3—4
Mapping, open      8
Mapping, Q-qc      4
Mapping, Q-qc, regular      4
Mapping, Q-quasiconformal      4—5
Mapping, qc, close to the identity mapping      52 57—62 104—106
Mapping, qc, extremal      IV 150
Mapping, qc, regular      4
Mapping, qc, Teichmuller      80 85
Mapping, qc, with invariant boundary points      80—81 85 86 155
Mapping, qc, with prescribed boundary values      85 153
Mapping, quasiconformal      III—IV 5
Mapping, regular      4
Mapping, regular at a point      4
Mapping, Teichmueller      80 85 101
Mapping, Teichmueller, of a disc      80
Mapping, Teichmueller, of a disc, normalized      80
Mapping, Teichmueller, of an annulus, normalized      85
Matrix, Grunsky      133
Maxwell, J.C.      157 161 162
Measure, harmonic      50 51
Measure, inner, of an angle      52
Method of extremal length      50
Method, parametrical, for conformal mappings      III IV 116—134
Method, parametrical, for qc mappings      III—IV 53—134
Method, variational, for conformal mappings      IV
Method, variational, for qc mappings      IV 135—155
Method, variational, for qc mappings, Belinskii's      135—144
Method, variational, for qc mappings, Schiffer's      144—150
Minkowski, H.      20 34 56 59 137
Modulus of a doubly connected domain      49—50
Modulus of a family of Jordan arcs or curves      50
Modulus of a quadrilateral      49—50
Momentum      156
Mori, A.      5[1] 48[1] 104[1] 106
Morrey, C.B., Jr.      III[1] 2[2] 38[1]
Newman, M.H.A.      3[1] 4
Nirenberg, L.      38
Niske, W.      117
Norm, convex      18
Norm, multiplicatively convex      18
Normalization, hydrodynamic      126
Normalized Teichmueller mapping of a disc      80
Normalized Teichmueller mapping of an annulus      85
Ohm, G.      160
Osgood, W.F.      38 69 78 80 82
Parametrization      III-IV 53—134
Parter, S.V.      45[1] 158[1]
Peano, G.      69 78
Pesin, I.N.      38 51[1]
Petrovski, I.G.      69[1]
Pfluger, A.      IV 6[2] 48[2] 50[1] 51 106
Poincare, H.      151
Point at infinity      1
Point of linear density      8
Point, regular of a mapping      4
Poisson, S.D.      16 131
Polya, G. and Szegoe, G.      126[1] 133[1]
Pommerenke, C.      117 133[1]
Potential of a constant electric field      156 160
Potential of a constant magnetic field      160
Potential, complex      158
Prime end      46
Principle, majorant, Lehto's      123 126 128 130 132 134
Principle, majorization      117
Quadrilateral      49—51
rectangle      51
Reich, E.      IV 50[1] 52—54 80 85 109[2] 112[2] 154 155[3—7]
Reich, E. and Strebel, K.      IV[1—3] 52[3] 54[1] 80[2] 85[1—3] 154[3]
Relative electric permeability      157
Renelt, H.      IV[1 3] 46[2] 135[1 2] 145[1 3] 149[1 3] 150[4]
Riemann, B.      38 48 80 82 139 149—152 162
Riesz, F.      6
Riesz, M.      16[1 2]
Saks, S.      2 6[1 2] 9[2] 11[2] 109[2]
Saks, S. and Zygmund, A.      2[1]
Scepetev, V.A.      155
Schaeffer, A.C. and Spencer, D.C.      IV[1]
Schiffer M.      IV[1 2] 52[2] 117 135[2] 144[2] 147 150
Schiffer M. and Schober, G.      IV[1 2] 117[1 2 4 5] 150[3 4 6]
Schober, G.      IV[1] 117[2] 150[1]
Schwarz, H.A.      6 17 38 55 56 116 122 129 130 138
Schwarzian derivative      134
Sense-preserving homeomorphism      3
Seretov, V.G.      155[1—3]
Set, measurable      1
Shah Tao-shing      III[1] IV[1] 53[1] 67[1] 72[1] 102[1] 106 107
Shah Tao-shing and Fan Le-le      106[1] 107[1]
Shibata, K.      155[1]
Sommer, F.      2 47
Soni, A.K.      117
Spencer, D.C.      IV
Springer, G.      151[1] 162[1]
Stein, P.      16[1]
Strassmann, F.      164
Strebel, K.      IV[2—5] 5[1 6] 52 54 80 84[2] 85 153[2] 154[8] 155[7]
Support of a function      2
Surface, Riemann      149—155 162
Szegoe, G.      126 133
Taari, O.      51[1]
1 2
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