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Авторизация |
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Поиск по указателям |
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Bergh J., Löfström J. — Interpolation Spaces: An Introduction |
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Предметный указатель |
24
, , , 141
, , 89
, , , 121
, , 88
131
, 174
, 177
18 168
, (31) 42
, 139
, (31) 38
, 75 115
62
13
, , , 1
, 107
11
70
, , , 121
107
8
6
132
134
85
, 70
72
86
79
72
86
153
25
, , 42
, , 40
, 46
, 26
144
, , , 147
41
24
22
25
, , 48
180
, 87
, 5
91
, 88
23
, 131 132
, 134
143
39
74
86
23 26
146
147
, 140
Approximation space 177
Aronszajn — Gagliardo theorem 29
Bernstein's inequality (12) 180
Besov space 141 146
Bessel potential 139
Bounded interpolation functor 28
c-norm 59
c-triangle inequality 59
Calderon's interpolation theorem 114
Compatible spaces, couples 24 63
Decreasing rearrangement 7
Difference schemes 183
Duality theorem for the complex method 98
| Duality theorem for the real method 54
Embedding theorem 153
Entire function 180
Equivalence theorem for the complex method 93
Equivalence theorem for the real method 44 65
Espaces de moyennes 70
Espaces de traces 72
Exact interpolation functor 28
Exact interpolation space 27
F* 7
Fourier multiplier 132
Fourier transform 5 131
Function norm 78
Fundamental lemma of interpolation theory 45
Gagliardo completition 37
Gagliardo diagram 39
Gagliardo set 175
Hardy class, space 18 170
Hardy's inequality 16
Hausdorff — Young's inequality 6
Hilbert transform 15
Holmstedt's formula (theorem 3.6.1) 52
Homogeneous Besov space 146
Inequality of Bernstein (12) 180
Inequality of Hardy 16
Inequality of Hausdorff — Young 6
Inequality of Jackson (12) 180
Inequality of Young 6
Infinitesimal generator 157
Intermediate space 26
Intermediate space of class 48
Interpolation function 116
Interpolation functor (method) 28
Interpolation of compact operators 56 85
Interpolation of locally convex spaces 83
Interpolation of multilinear mappings (9) 76 96
Interpolation of non-linear mappings 36 78
Interpolation of semi-normed spaces 83
Interpolation space 27
Interpolation theorem of Calderon 114
Interpolation theorem of Marcinkiewicz 9 113
Interpolation theorem of Riesz — Thorin 2 107
Interpolation theorem of Stein — Weiss 115
Jackson's inequality (12) 180
K-monotonic spaces 84
Lebesgue space 1
Lorentz space 8
Orlicz spaces 128
p-nuclear operators 182
Potentials 139
Power theorem 68
Quasi-concave functions 84 117
Quasi-linearizable couples 77
Quasi-norm (7) 59
Quasi-normed Abelian groups 59
Quasi-normed Abelian semi-groups 80
Quasi-normed vector space 7
Real interpolation method 46
Reiteration theorem for the complex method 101
Reiteration theorem for the real method 50 67
retract (81) 150
Riesz potential 139
Riesz — Thorin's interpolation theorem 2 107
Scales of Banach spaces 82
Semi-groups of operators 157
Sobolev space 141 153
Spline functions 193
Stability theorem see equivalence theorem
Stein — Weiss interpolation theorem 115
Three line theorem 4
Trace theorem 155
Uniform interpolation functor 28
Uniform interpolation space 27
Weak reiteration theorem 35
Young's inequality 6
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