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

Burenkov, Victor and Kalyabin, G. A. 2000. Lower estimates of the norms of extension operators for Sobolev spaces on the halfline. Mathematische Nachrichten 218 , pp. 19-23. 10.1002/1522-2616(200010)218:1<19::AID-MANA19>3.0.CO;2-C

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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. Previously only the upper estimates (less than or equal to 8(m)) for these norms were known.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Schools > Mathematics
Subjects:	Q Science > QA Mathematics
Uncontrolled Keywords:	Sobolev spaces; extension operators; Taylor's formula; Holder's inequality.
Publisher:	Wiley
ISSN:	0025-584X
Last Modified:	04 Jun 2017 08:47
URI:	https://orca.cardiff.ac.uk/id/eprint/84925

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