Lower estimates of the norms of extension operators for Sobolev spaces on the halfline

Authors
Burenkov, VI Kalyabin, GA
Citation
Vi. Burenkov et Ga. Kalyabin, Lower estimates of the norms of extension operators for Sobolev spaces on the halfline, MATH NACHR, 218, 2000, pp. 19-23
Citations number
3
Categorie Soggetti
Mathematics
Journal title
MATHEMATISCHE NACHRICHTEN
ISSN journal
0025584X → ACNP
Volume
218
Year of publication
2000
Pages
19 - 23
Database
ISI
SICI code
0025-584X(2000)218:<19:LEOTNO>2.0.ZU;2-T
Abstract
It is proved that for an arbitrary extension operator T : W-p(m)(-infinity ,0) --> W-p(m)(-infinity,infinity) its norm cannot be less than epsilon (2m)(0)m(-1/2p), epsilon (0) > 0. Prev iously only the upper estimates (less than or equal to 8(m)) for these norm s were known.