An uncertainty principle and sampling inequalities in Besov spaces

Abstract

We extend Strichartz's uncertainty principle [18] from the setting of the Sobolov space W 1,2 (R) to more general Besov spaces B 1/p p,1 (R). The main result gives an estimate from below of the trace of a function from the Besov space on a uniformly distributed discrete subset. We also prove the corresponding result in the multivariate case and discuss some applications to irregular approximate sampling in critical Besov spaces.

References in corpus (1)

• Isoperimetric weights and generalized uncertainty inequalities in metric measure spaces

Cited by in corpus (1)

• A sampling theorem for functions in Besov spaces on spaces of homogeneous type