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Brelot M. — On Topologies And Boundaries In Potential Theory
Brelot M. — On Topologies And Boundaries In Potential Theory



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Название: On Topologies And Boundaries In Potential Theory

Автор: Brelot M.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1971

Количество страниц: 184

Добавлена в каталог: 08.07.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
(Fine or not) strong h-regular      145
(Fine or not) weak h-regular      145
(General) Convergence theorem      34
(Great) Convergence theorem (Brelot — Cartan)      43
(Great) Dirichlet problem, P.W.B. method      38 43 45 92 135
(Minimal or not) semi-thinness      82 152
(Minimal or not) statistical thinness      70 132 153
(Minimal or not) Stolz domain      150
(Minimal or not) strong thinness      12
(Minimal or not) strong unthinness      15
(Minimal or not) weak thinness      32
Abstract Potential      40 46 91 102
Adjoint Sheaf (Mrs. Herve's theory)      94
Angular (or non-tangential) limit      153
Axiom D      94
Axiomatic of Bauer      96
Axiomatic of Brelot      90
Balayage (Sweeping out)      49 95
Base      35 57
BLD-functions      84
Boundary, Choquet boundary      86
Boundary, Martin boundary      111
Boundary, Minimal boundary      104
Boundary, Silov boundary      86
C-closed (cone of functions)      1
Capacity, Choquet capacity      66
Capacity, General capacity      66
Choquet property      26
Choquet theorem on extreme elements      93
Compactification of Constantinescu — Cornea      106
Compactification of Kerekjarto — Stoilov      109
Compactification of Kuramochi      109
Compactification of Martin      111
Compactification of Royden      109
Compactification of Stone — Cech      109
Completely determining domain      93
Fine $\xi$-space      40
Fine Dirichlet problem      144
Fine domination principle (classical strong form)      61
Fine Doob's axiom      96
Fine Doob's fundamental theorem on minimal fine limits      143
Fine extreme point, element, generatrix      93 102
Fine Fatou theorem      157
Fine topology      2
h-BLD functions      144
h-regular      137
h-resolutivity      135
Hyperthinness      6
Hyperthinness, thinnes of order $\phi$      84
Inner fine cluster value      18
Inner fine limit, closure      3
Inner fine topology      2
Inner thinness or internal thinness      2
Interior thinness      76 84
Key Balayage theorem (Classical Brelot's form)      61
Minimal Fine topology      105
Minimal harmonic function      102
Minimal hyperharmonic function      38 91
Minimal hypoharmonic function      38
Minimal thinness      102 103
Negligible h-negligible      135
Negligible locally polar      41
Negligible normal limit      158
Negligible nuclearity      97
Negligible peak point      1
Negligible Poisson integral      37
Negligible polar set      6 41
Negligible quasi-topological notions      22
Negligible semi-polar      35
Negligible set      17
Negligible strictly polar      6
Negligible W-polar      71
Outer weight      25
Outer weight, Wiener criterion      80
p-Quasi-continuous      23
p-Quasi-everywhere      23
p-Quasi-open or closed      23
p-Reduced function      9 49
p-Regular boundary point      44
Resolutivity      43 92
Riesz integral representation      45 93
Semi-bounded      72
Semi-fine Green function      41
Semi-fine Green space      41
Semi-fine h-harmonic functions      91
Semi-fine harmonic functions      37 90 102
Semi-fine harmonic measure      44 90
Semi-fine limit      154
Semi-fine mrs. Herve's topology      93
Sheaf axiom      90
Singular point      33
Specific order      46
Stable boundary point      45
Superharmonic function      39 91
Superharmonic function, Kernel $\Theta$ of L. Naim      128
Superharmonic function, Kernel $\Theta$ of Lebesgue spine      76
Superharmonic function, Kernel $\Theta$ of Maria — Frostman principle      40
Superharmonic function, Kernel $\Theta$ of Martin integral representation      114
Superharmonic function, Kernel $\Theta$ of Minimum principle      91
Swept out function or measure      50
Thinness, unthinness      2 35
Uniform integrability      84 146
Vanishing family      30
Weight      22
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