23 research outputs found
On existence conditions for sequences uniformly distributed with respect to Voronoi’s methods
Lower estimates of the norms of extension operators for Sobolev spaces on the halfline
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