Počet záznamů: 1
Sharp estimates of the k-modulus of smoothness of Bessel potentials
- 1.
SYSNO ASEP 0342833 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Sharp estimates of the k-modulus of smoothness of Bessel potentials Tvůrce(i) Gogatishvili, Amiran (MU-W) RID, ORCID, SAI
Neves, J. S. (PT)
Opic, Bohumír (MU-W) SAIZdroj.dok. Journal of the London Mathematical Society. - : Wiley - ISSN 0024-6107
Roč. 81, č. 3 (2010), s. 608-624Poč.str. 17 s. Jazyk dok. eng - angličtina Země vyd. GB - Velká Británie Klíč. slova embeddings ; spaces ; optimality ; compact Vědní obor RIV BA - Obecná matematika CEP GA201/08/0383 GA ČR - Grantová agentura ČR CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000278819000006 EID SCOPUS 77952809620 DOI 10.1112/jlms/jdq005 Anotace Let X(n)=X(n, µn) be a rearrangement-invariant Banach function space over the measure space (n, µn), where µn stands for the n-dimensional Lebesgue measure in n. We derive a sharp estimate for the k-modulus of smoothness of the convolution of a function fX(n) with the Bessel potential kernel g, where (0, n). The above estimate is very important in applications. For example, it enables us to derive optimal continuous embeddings of Bessel potential spaces HX(n) in a forthcoming paper, where, in limiting situations, we are able to obtain embeddings into Zygmund-type spaces rather than Hölder-type spaces. In particular, such results show that the Brézis–Wainger embedding of the Sobolev space Wk+1, n/k(n), with k and k<n–1, into the space of ‘almost’ Lipschitz functions, is a consequence of a better embedding which has as its target a Zygmund-type space. Pracoviště Matematický ústav Kontakt Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Rok sběru 2011
Počet záznamů: 1