BMO-mappings in the plane

被引：0

作者：

Cazacu, CA ^{[1
]}

机构：

[1] Univ Bucharest, Fac Math, Bucharest 701091, Romania

来源：

TOPICS IN ANALYSIS AND ITS APPLICATIONS | 2004年 / 147卷

关键词：

mappings in the plane : quasiconformal (QC); quasiregular (QR); with finite distortion; BMO; -; QR; QC; BMO-bounded distortion; Riemarm and Klein surfaces;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This survey paper presents in the 2-dimensional case recent results which generalize plane quasiconformality and quasiregularity to the case of mappings whose distortion is dominated by a BMO-function. These are the so-called BMO-mappings. After a brief exposure on real BMO-functions in 2 classes of BMO-mappings are discussed in 3. 4 is devoted to BMO-QC and -QR mappings in the sense of Ryazanov, Srebro and Yakubov, and 4 to BMO-BD considered by Astala, Iwaniec, Koskela and Martin. BMO-mappings between Riemann and Klein surfaces are discussed in 4.5.

引用

页码：11 / 30

页数：20

共 62 条

[21] SOLUTIONS OF THE BELTRAMI EQUATION WITH THE NORM OF MU TO INFINITY = 1
DAVID, G
[J]. ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 1988, 13 (01): : 25 - 70
[22] CHARACTERIZATIONS OF BOUNDED MEAN OSCILLATION
FEFFERMAN, C
[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 77 (04) : 587 - +
[23] GEHRING FW, 1982, CHARECTERISTIC PROPE
[24] Girela D., 2001, Univ. Joensuu Dept. Math. Rep. Ser., V4, P61
[25] Grotzsch H., 1928, Ber. Vehr. Sachs. Akad. Wiss. Leipzig, V80, P503
[26] SOBOLEV MAPPINGS WITH INTEGRABLE DILATATIONS
HEINONEN, J
KOSKELA, P
[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1993, 125 (01) : 81 - 97
[27] ON MAPPINGS WITH INTEGRABLE DILATION
IWANIEC, T
SVERAK, V
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1993, 118 (01) : 181 - 188
[28] Quasiharmonic fields
Iwaniec, T
Sbordone, C
[J]. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2001, 18 (05): : 519 - 572
[29] IWANIEC T, MEM AMS
[30] IWANIEC T, 1995, GEOMETRIC FUNCTION T

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