Estimates of Green potentials. Applications

被引：2

作者：

Danchenko, VI ^{[1
]}

机构：

[1] Vladimir State Univ, Vladimir, Russia

来源：

SBORNIK MATHEMATICS | 2003年 / 194卷 / 1-2期

关键词：

D O I：

10.1070/SM2003v194n01ABEH000706

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Optimal Cartan-type covers by hyperbolic discs of carriers of Green alpha-potentials are obtained in a simply connected domain in. the complex plane and estimates of the potentials outside the carriers axe presented. These results are applied to problems on the separation of singularities of analytic and harmonic functions. For instance, uniform and integral estimates in terms of Green capacities of components of meromorphic functions are obtained.

引用

页码：63 / 88

页数：26

共 50 条

[21] Alternating current spark potentials.
Russell, Alexander
PHILOSOPHICAL MAGAZINE, 1910, 19 (109-14) : 203 - 205
[22] Personality: determinants, dynamics, and potentials.
Van Niekerk, R
SOUTH AFRICAN JOURNAL OF PSYCHOLOGY, 2001, 31 (03) : 58 - 59
[23] STEP-AND-TOUCH POTENTIALS.
Cherney, E.A.
Ringler, K.G.
Research Review - Ontario Hydro, 1981, (03): : 63 - 67
[24] Electrostatic measurement of electrode potentials.
Ewell, AW
PHYSICAL REVIEW, 1915, 6 (04): : 271 - 282
[25] The theory of galvanic potentials. I
Gross, P
JOURNAL OF CHEMICAL PHYSICS, 1935, 3 (08): : 458 - 460
[26] APPRAISING ENERGY HAZARD POTENTIALS.
Treweek, Dale N.
Claydon, Charles R.
Seaton, William H.
1973, : 21 - 27
[27] Regarding convergence following potentials.
Deny, J
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES, 1944, 218 : 497 - 499
[28] SMALL TUNNELS: LARGE POTENTIALS.
Gosselin, Chris
Civil Engineering, 1974, (812): : 34 - 35
[29] Studies on contact potentials. II
Lederer, Marianne
ZEITSCHRIFT FUR PHYSIK, 1930, 66 (9-10): : 632 - 645
[30] The measurement of glass electrode potentials.
Greville, GD
Maclagen, NF
TRANSACTIONS OF THE FARADAY SOCIETY, 1931, 27 : 0210 - 0227

← 1 2 3 4 5 →