Characterisation by local means of mixed-norm Lizorkin-Triebel spaces

  • Hansen, Sabrina Munch (Project Participant)
  • Sickel, Winfried (Project Participant)
  • Johnsen, Jon (Project Participant)

Project Details

Description

In the general theory of anisotropic mixed-nom Lizorkin-Triebel spaces, we have established a characterisation of the spaces in terms quasi-norms on temperate distributions.The norms involve convolutions and maximal functions of Peetre-Fefferman-Stein type. Local means in Triebel's terminology are covered as a special case. The main step consists in an extension of crucial inequalities due to Rychkov.
A manuscript has been worked out and submitted.
StatusFinished
Effective start/end date01/08/201231/12/2013