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

By Victor Burenkov and G. A. Kalyabin

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

Topics: QA Mathematics
Publisher: Wiley
Year: 2000
DOI identifier: 10.1002/1522-2616(200010)218:1
OAI identifier: oai:http://orca.cf.ac.uk:84925
Provided by: ORCA
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