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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


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:
Provided by: ORCA
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