Interpolation properties of Besov spaces defined on metric spaces

Result code in IS VaVaI

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Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Interpolation properties of Besov spaces defined on metric spaces

Original language description

Let X = (X, d, ?) be a doubling metric measure space. We define so called Besov spaces B_{p,q}^?(X). We will show that if a doubling metric measure space (X, d, ?) supports a (1, p)-Poincaré inequality, then the Besov space B_{p,q}^?(X) coincides with the real interpolation space (L_{p}(X), KS_{1,p}(X))_{ ? ,q}, where KS_{1,p}(X) is the Sobolev space defined by Korevaar and Schoen . This result is used to prove the imbedding theorems.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2010

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Mathematische Nachrichten

ISSN

0025-584X

e-ISSN

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Volume of the periodical

283

Issue of the periodical within the volume

2

Country of publishing house

DE - GERMANY

Number of pages

17

Pages from-to

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UT code for WoS article

000275649300005

EID of the result in the Scopus database

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