Nonseparability of Banach spaces of bounded harmonic functions on Riemann surfaces

被引：1

作者：

Nakai, Mitsuru ^{[1
]}

机构：

[1] Nagoya Inst Technol, Nagoya, Aichi, Japan

来源：

PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES | 2011年 / 87卷 / 08期

关键词：

Banach space; Dirichlet integral; Green function; harmonic function; Hilbert space; separable;

D O I：

10.3792/pjaa.87.130

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The separability of certain seminormed spaces of harmonic functions on Riemann surfaces will be considered. An application of the result obtained in the above to some inverse inclusion problem in the classification theory of Riemann surfaces will be appended.

引用

页码：130 / 135

页数：6

共 50 条

[1] Nonrefiexivity of Banach spaces of bounded harmonic functions on Riemann surfaces
Nakai, Mitsuru
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 2011, 87 (01) : 1 - 4
[2] BANACH SPACES OF BOUNDED DIRICHLET FINITE HARMONIC FUNCTIONS ON RIEMANN SURFACES
Nakai, Mitsuru
KODAI MATHEMATICAL JOURNAL, 2013, 36 (01) : 15 - 37
[3] PHI-BOUNDED HARMONIC FUNCTIONS AND CLASSIFICATION OF RIEMANN SURFACES
NAKAI, M
PACIFIC JOURNAL OF MATHEMATICS, 1965, 15 (04) : 1329 - &
[4] THE CLASSES OF BOUNDED HARMONIC FUNCTIONS AND HARMONIC FUNCTIONS WITH FINITE DIRICHLET INTEGRALS ON HYPERBOLIC RIEMANN SURFACES
Masaoka, Hiroaki
KODAI MATHEMATICAL JOURNAL, 2010, 33 (02) : 233 - 239
[5] RECURRENT FUCHSIAN-GROUPS WHOSE RIEMANN SURFACES HAVE INFINITE DIMENSIONAL SPACES OF BOUNDED HARMONIC-FUNCTIONS
VELLING, JA
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 1989, 65 (07) : 211 - 214
[6] CORRECTION TO SPACES OF RIEMANN SURFACES AS BOUNDED DOMAINS
BERS, L
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1961, 67 (05) : 465 - &
[7] Overfare of harmonic functions on Riemann surfaces
Schippers, Eric
Staubach, Wolfgang
NEW YORK JOURNAL OF MATHEMATICS, 2025, 31 : 321 - 367
[8] EVANS HARMONIC FUNCTIONS ON RIEMANN SURFACES
NAKAI, M
PROCEEDINGS OF THE JAPAN ACADEMY, 1963, 39 (02): : 74 - &
[9] HARMONIC FUNCTIONS ON OPEN RIEMANN SURFACES
ROYDEN, HL
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1952, 73 (JUL) : 40 - 94
[10] Weighted Banach spaces of harmonic functions
Enrique Jordá
Ana María Zarco
Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas, 2014, 108 : 405 - 418

← 1 2 3 4 5 →