Spectral theory of Riesz potentials on quasi-metric spaces

被引：0

作者：

Triebel, H ^{[1
]}

Yang, DC

机构：

[1] Univ Jena, Fak Math & Informat, Math Inst, D-07740 Jena, Germany

[2] Beijing Normal Univ, Dept Math, Beijing 100875, Peoples R China

来源：

MATHEMATISCHE NACHRICHTEN | 2002年 / 238卷

关键词：

Riesz potentials; eigenvalue distributions; spaces of homogeneous type; Besov spaces; entropy numbers;

D O I：

10.1002/1522-2616(200205)238:1<160::AID-MANA160>3.0.CO;2-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper deals with spectral assertions of Riesz potentials in some classes of quasimetric spaces. In addition we survey briefly a few related subjects: integral operators, local means and function spaces, euclidean charts of quasi-metric spaces, relations to fractal geometry.

引用

页码：160 / 184

页数：25

共 37 条

[31] Sobolev embeddings for Riesz potentials of functions in Musielak-Orlicz-Morrey spaces over non-doubling measure spaces
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[32] An elementary proof of Sobolev embeddings for Riesz potentials of functions in Morrey spaces L1, ν, β(G)
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[35] WEAK ESTIMATES FOR THE MAXIMAL AND RIESZ POTENTIAL OPERATORS ON NON-HOMOGENEOUS CENTRAL MORREY TYPE SPACES IN L1 OVER METRIC MEASURE SPACES
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[36] Sobolev's inequality for Riesz potentials of functions in generalized Morrey spaces with variable exponent attaining the value 1 over non-doubling measure spaces
Sawano, Yoshihiro
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[37] Sobolev’s inequality for Riesz potentials of functions in generalized Morrey spaces with variable exponent attaining the value 1 over non-doubling measure spaces
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