ON THE COMPLEXITY OF CLASSIFYING LEBESGUE SPACES

被引：5

作者：

Brown, Tyler A. ^{[1
,2
]}

Mcnicholl, Timothy H. ^{[1
]}

Melnikov, Alexander G. ^{[3
]}

机构：

[1] Iowa State Univ, Dept Math, Ames, IA 50011 USA

[2] Columbia Coll, Div Hlth Math & Sci, Columbia, SC 29203 USA

[3] Inst Nat & Math Sci, Private Bag 102 904 NSMC, Auckland 0745, New Zealand

来源：

JOURNAL OF SYMBOLIC LOGIC | 2020年 / 85卷 / 03期

关键词：

computable analysis; computable structure theory; L-p; spaces; FREE ABELIAN-GROUPS;

D O I：

10.1017/jsl.2020.63

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Computability theory is used to evaluate the complexity of classifying various kinds of Lebesgue spaces and associated isometric isomorphism problems.

引用

页码：1254 / 1288

页数：35

共 50 条

[11] Classifying Spaces
Penner, Robert
TOPOLOGY AND K-THEORY: LECTURES BY DANIEL QUILLEN, 2020, 2262 : 155 - 157
[12] REALIZING SPACES AS CLASSIFYING SPACES
Lupton, Gregory
Smith, Samuel Bruce
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2016, 144 (08) : 3619 - 3633
[13] LIPSCHITZ-SPACES AND MIXED LEBESGUE SPACES
MADYCH, WR
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1982, 85 (02) : 213 - 218
[14] SPACES BETWEEN A PAIR OF REFLEXIVE LEBESGUE SPACES
BOYD, DW
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1967, 18 (02) : 215 - &
[15] SUMS AND INTERSECTIONS OF LEBESGUE SPACES
LIU, TS
WANG, JK
MATHEMATICA SCANDINAVICA, 1968, 23 (02) : 241 - &
[16] The Fourier transform in Lebesgue spaces
Talvila, Erik
CZECHOSLOVAK MATHEMATICAL JOURNAL, 2025, 75 (01) : 179 - 191
[17] HAUSDORFF OPERATOR IN LEBESGUE SPACES
Bandaliyev, Rovshan
Gorka, Przemyslaw
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2019, 22 (02): : 657 - 676
[18] The Lebesgue constants on projective spaces
Kushpel, Alexander
TURKISH JOURNAL OF MATHEMATICS, 2021, 45 (02) : 856 - 863
[19] On small Lebesgue spaces and their applications
Fiorenza, A
Rakotoson, JM
COMPTES RENDUS MATHEMATIQUE, 2002, 334 (01) : 23 - 26
[20] POLYMORPHISMS AND PARTITIONS OF LEBESGUE SPACES
FEDOROV, AL
FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 1982, 16 (02) : 150 - 152

← 1 2 3 4 5 →