SQUARE INTEGRABLE HARMONIC DIFFERENTIALS ON ARBITRARY RIEMANN SURFACES WITH A FINITE NUMBER OF NODES

被引：4

作者：

TANIGUCHI, M ^{[1
]}

机构：

[1] KYOTO UNIV,DEPT MATH,KYOTO 606,JAPAN

来源：

JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY | 1985年 / 25卷 / 04期

关键词：

D O I：

10.1215/kjm/1250521009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

引用

页码：597 / 617

页数：21

共 15 条

[1] DIRICHLET FINITE HARMONIC DIFFERENTIALS WITH INTEGRAL PERIODS ON ARBITRARY RIEMANN SURFACES
TANIGUCHI, M
JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 1983, 23 (02): : 357 - 367
[2] SQUARE-INTEGRABLE DIFFERENTIALS ON OPEN RIEMANN SURFACES
AHLFORS, LV
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1956, 42 (10) : 758 - 760
[3] SQUARE INTEGRABLE DIFFERENTIALS ON RIEMANN SURFACES AND QUASICONFORMAL MAPPINGS
MINDA, CD
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 195 (AUG) : 365 - 381
[4] A conformally invariant metric on Riemann surfaces associated with integrable holomorphic quadratic differentials
Toshiyuki Sugawa
Mathematische Zeitschrift, 2010, 266 : 645 - 664
[5] A conformally invariant metric on Riemann surfaces associated with integrable holomorphic quadratic differentials
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MATHEMATISCHE ZEITSCHRIFT, 2010, 266 (03) : 645 - 664
[6] An isometry theorem for quadratic differentials on Riemann surfaces of finite genus
Lakic, N
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1997, 349 (07) : 2951 - 2967
[7] ON CONVERGENCE OF HOLOMORPHIC ABELIAN DIFFERENTIALS ON THE TEICHMULLER-SPACES OF ARBITRARY RIEMANN SURFACES
TANIGUCHI, M
JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 1984, 24 (02): : 305 - 321
[8] The maximum number of systoles for genus two Riemann surfaces with abelian differentials
Judge, Chris
Parlier, Hugo
COMMENTARII MATHEMATICI HELVETICI, 2019, 94 (02) : 399 - 437
[9] SQUARE MEANS VERSUS DIRICHLET INTEGRALS FOR HARMONIC FUNCTIONS ON RIEMANN SURFACES
Masaoka, Hiroaki
Nakai, Mitsuru
TOHOKU MATHEMATICAL JOURNAL, 2012, 64 (02) : 233 - 259
[10] BANACH SPACES OF BOUNDED DIRICHLET FINITE HARMONIC FUNCTIONS ON RIEMANN SURFACES
Nakai, Mitsuru
KODAI MATHEMATICAL JOURNAL, 2013, 36 (01) : 15 - 37

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