Index
Admissible function, 231
Balayage measure, 11, 183
Boundary Harnack principle, 99
Conformal cusp, 6, 237
Continuous reflection property, 31
Corner with interior angle ϕ, 3
Cusp, 2, 3
Cusp with a single gauge, 241
Degenerate point, 2
Dirac measure, 11
Domain with quasi-smooth boundary, 17
Double point, 2
First fundamental inequality, 53, 258
Function of bounded variation, 77
Function with a single gauge, 243
Function with gauges, 232
Green function, 12
Harmonic measure, 11
Harnack constant, 52
Harnack principle, 52
Hele-Shaw flow, 1
classical solution, 2
weak solution, 2
Intermediately increasing function, 242
Laminar-flow point, 3
Laminar-flow stationary corner with
interior angle ϕ, 3
Lipschitz constant, 138
Lipschitz continuous function, 138
Local-reflection line, 159
Local-Reflection Theorem, 123
Local-reflexible cusp, 158
Localization Theorem, 22
Lyapunov-Dini corner with a right angle,
51, 76
Lyapunov-Dini cusp, 93
Lyapunov-Dini smooth arc, 51
Martin function, 17
Microlocalization Theorem, 96
Oscillating cusp, 246
Power cusp, 6, 237
Power function, 6, 237
Properly open cusp, 5, 91
Quadrature domain, 9
Quadrilateral in a wide sense, 32
Quasi-laminar-flow point, 3
Radon-Nikod´ ym derivative, 11
Rapidly increasing function, 242
Real-analytic cusp, 5, 237
Reflexible (set), 25
Reflexible cusp, 239
Regular point, 2
Regularity Theorem, 2
Restricted quadrature domain and
measure, 10
Restricted quadrature domain and measure
with weight, 112
Restriction domain, 10
Schwarz function, 6
Second fundamental inequality, 53
Slowly increasing function, 242
Stationary point, 3, 261
Turbulent-flow point, 4, 251
Unbounded variation cusp, 247
269
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