Number of the records: 1
Interpolation properties of Besov spaces defined on metric spaces
- 1.
SYSNO ASEP 0339255 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Interpolation properties of Besov spaces defined on metric spaces Author(s) Gogatishvili, Amiran (MU-W) RID, ORCID, SAI
Koskela, P. (FI)
Shanmugalingam, N. (US)Source Title Mathematische Nachrichten - ISSN 0025-584X
Roč. 283, č. 2 (2010), s. 215-231Number of pages 17 s. Language eng - English Country DE - Germany Keywords Besov spaces ; Sobolev spaces ; real interpolation method ; K-functional ; metric measure space ; doubling measure space ; embedding theorems Subject RIV BA - General Mathematics R&D Projects GA201/05/2033 GA ČR - Czech Science Foundation (CSF) GA201/08/0383 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000275649300005 EID SCOPUS 77952509495 DOI 10.1002/mana.200810242 Annotation Let X = (X, d, μ) be a doubling metric measure space. We define so called Besov spaces B_{p,q}^α(X). We will show that if a doubling metric measure space (X, d, μ) supports a (1, p)-Poincaré inequality, then the Besov space B_{p,q}^α(X) coincides with the real interpolation space (L_{p}(X), KS_{1,p}(X))_{ α ,q}, where KS_{1,p}(X) is the Sobolev space defined by Korevaar and Schoen . This result is used to prove the imbedding theorems. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2010
Number of the records: 1