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Spaces of Functions of Fractional Smoothness on an Irregular Domain.
- Source :
- Mathematical Notes; Jul/Aug2003, Vol. 74 Issue 1/2, p157-176, 20p
- Publication Year :
- 2003
-
Abstract
- In this paper, we study the spaces <MATH>B_{pq}^s(G)</MATH> and <MATH>L_{pq}^s(G)</MATH> of functions with positive exponent of smoothness <MATH>s> \nomathbreak 0</MATH>, defined on a domain <MATH>G\subset \nomathbreak \Bbb R^n</MATH>. For a domain <MATH>G</MATH> with specific geometric properties, we establish the embedding <MATH>B_{pp}^s(G)=L_{pp}^s(G)\subset L_q(G)</MATH>, 1<p<q< \nomathbreak \infty, with the relationship between the parameters defined by these geometric properties. [ABSTRACT FROM AUTHOR]
- Subjects :
- MATHEMATICAL functions
MATHEMATICS
DIFFERENTIAL equations
MATHEMATICAL analysis
Subjects
Details
- Language :
- English
- ISSN :
- 00014346
- Volume :
- 74
- Issue :
- 1/2
- Database :
- Complementary Index
- Journal :
- Mathematical Notes
- Publication Type :
- Academic Journal
- Accession number :
- 16822898
- Full Text :
- https://doi.org/10.1023/A:1025095906229