Characterizations of Besov-Type and Triebel-Lizorkin-Type Spaces by Differences

Douadi Drihem
2012 Journal of Function Spaces and Applications  
We present characterizations of the Besov-type spaces B s,τ p,q and the Triebel-Lizorkin-type spaces F s,τ p,q by differences. All these results generalize the existing classical results on Besov and Triebel-Lizorkin spaces by taking τ 0.
doi:10.1155/2012/328908 fatcat:mkxxput3inhurelqyjfp4ryfxi